{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A Walk Through Linear Models\n",
    "*Complete and hand in this completed worksheet (including its outputs and any supporting code outside of the worksheet) with your assignment submission.*\n",
    "\n",
    "In this exercise you will:\n",
    "    \n",
    "- implement a whole bunch of **linear classifiers**\n",
    "- compare their performance and properties\n",
    "\n",
    "Please note that **YOU CANNOT USE ANY MACHINE LEARNING PACKAGE SUCH AS SKLEARN** for any homework, unless you are asked. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "# some basic imports\n",
    "import numpy as np\n",
    "import scipy\n",
    "import matplotlib.pyplot as plt\n",
    "from mkdata import mkdata\n",
    "from plotdata import plotdata\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can use this skeleton or write your own.\n",
    "\n",
    "NOTE: Be becareful that the bias term is in the first element of weight, that is `y = np.sign(np.matmul(w_g.T, np.vstack((np.ones((1, X.shape[1])), X)))).T`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part1: Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from linear_regression import linear_regression\n",
    "\n",
    "nRep = 1000  # number of replicates\n",
    "nTrain = 100 # number of training data\n",
    "\n",
    "for i in range(nRep):\n",
    "    X, y, w_f = mkdata(nTrain)\n",
    "    w_g = linear_regression(X, y)\n",
    "    #TODO\n",
    "    # Compute training, testing error\n",
    "\n",
    "# print('E_train is {}, E_test is {}'.format(E_train, E_test))\n",
    "\n",
    "plotdata(X, y, w_f, w_g, 'Linear Regression');\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part2: Linear Regression: noisy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "nRep = 1000; # number of replicates\n",
    "nTrain = 100; # number of training data\n",
    "\n",
    "for i in range(nRep):\n",
    "    X, y, w_f = mkdata(nTrain, 'noisy')\n",
    "    w_g = linear_regression(X, y)\n",
    "    #TODO\n",
    "    # Compute training, testing error\n",
    "\n",
    "# print('E_train is {}, E_test is {}'.format(E_train, E_test))\n",
    "\n",
    "plotdata(X, y, w_f, w_g, 'Linear Regression: noisy');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part3: Linear Regression: poly_fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.io as sio\n",
    "poly_train = sio.loadmat('poly_train')\n",
    "X, y = poly_train['X'], poly_train['y']\n",
    "poly_test = sio.loadmat('poly_test')\n",
    "X_test, y_test = poly_test['X_test'], poly_test['y_test']\n",
    "w = linear_regression(X, y)\n",
    "#TODO\n",
    "# Compute training, testing error\n",
    "\n",
    "# print('E_train is {}, E_test is {}'.format(E_train, E_test))\n",
    "\n",
    "# poly_fit with transform\n",
    "X_t = X  # CHANGE THIS LINE TO DO TRANSFORMATION\n",
    "X_test_t = X_test  # CHANGE THIS LINE TO DO TRANSFORMATION\n",
    "w = linear_regression(X_t, y)\n",
    "#TODO\n",
    "# Compute training, testing error\n",
    "# print('E_train is {}, E_test is {}'.format(E_train, E_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part4: Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from logistic import logistic\n",
    "\n",
    "# Since logistic regression outputs 0/1, we should adjust the label y.\n",
    "nRep = 100; # number of replicates\n",
    "nTrain = 100; # number of training data\n",
    "\n",
    "for i in range(nRep):\n",
    "    X, y, w_f = mkdata(nTrain)\n",
    "    w_g = logistic(X, y)\n",
    "    #TODO\n",
    "    # Compute training, testing error\n",
    "\n",
    "# print('E_train is {}, E_test is {}'.format(E_train, E_test))\n",
    "\n",
    "plotdata(X, y, w_f, w_g, 'Logistic Regression')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part5: Logistic Regression: noisy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAj0AAAGzCAYAAADEw6Y0AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjYsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvq6yFwwAAAAlwSFlzAAAPYQAAD2EBqD+naQAAmBNJREFUeJztnQd4FHX6x7+bZBOSCEkQARGEANJEaUIQsJxE6v2VooCn5kCUQ0FFUITjxIKKqIeVEwsgKgoK6Fm4CGJBaSIoCNJBwEINCZJE0vb/fH+b2WyS3WQ32TLl/TzPZnZmfrM7szvZeect39fmcDgcEARBEARBMDkR4d4BQRAEQRCEUCBGjyAIgiAIlkCMHkEQBEEQLIEYPYIgCIIgWAIxegRBEARBsARi9AiCIAiCYAnE6BEEQRAEwRKI0SMIgiAIgiUQo0cQBEEQBEsgRo8gGIArr7xSPQJFkyZNMHz48IC9ngDYbDY89NBDMCs///yzOsbXX3893LsiCFVGjB5B8AP+4POH/7vvvoPeWbNmjboIZ2ZmBvV9aEDxM9Ee8fHx6NKlC954442gvq8gCIK/RPm9hSAIIWf58uVVMnoefvhh5dFJTEwstW7nzp2IiAjcPU/79u0xYcIE9fz333/Ha6+9hr///e84c+YMbrvtNliB3NxcREWZ9ye1cePG6hjtdnu4d0UQqox5/0MFwURER0cH9PViYmIC+nrnnXcebrrpJtc8Da2mTZvimWeeCbnRk52drbxNoaZGjRowM/Timf0YBfMj4S1BCALff/89+vbti1q1auGss85Cz549sW7dunLjtmzZgiuuuAKxsbFo2LAhHn30UcybN09dYJhDUVFOzwsvvIALL7wQcXFxSEpKwiWXXIK3335brWNY67777lPPk5OTXaEn7TU95fQwDHbPPfeodTSKuD9paWk4fvy438d/zjnnoFWrVti7d2+p5UVFRXj22WfVfvMCWq9ePfzjH//AyZMny43jMTRo0EAd31/+8hf89NNP5fZbCzd+9dVXuOOOO1C3bl213xr/+9//cNlllykjqGbNmujfvz+2bdtW6r0OHz6MESNGqO143Oeeey6uvfbaUp8/w5m9e/dGnTp11HfFz/SWW26pNKfHl/NAO4bVq1dj/Pjx6rPj/g4cOBDHjh0rNTYrKws7duxQ08rgZ/XXv/4V33zzjQo38vOmIeop7Lhv3z5cf/31qF27tvq8u3btik8++aTSnJ7KPjt6+/iZ5efnl3vPXr16oWXLlpUehyAEEvH0CEKA4UWVF1pe6CZOnKjCAS+//LIyWnhxTklJUeN+/fVXdTHnhWTy5MnqQsewkC9emFdffRV33XUXrrvuOtx99934888/lQG1fv16/O1vf8OgQYOwa9cuvPPOO8rbwgsP4QXVE6dPn1b7vH37dnUx79ixozJ2PvzwQ/zyyy+u7X2loKBAbUdjzB0aOLxo8kLJ/d+/fz9efPFFZRzwoq+FTvh5PPnkk/i///s/ZWxs3rxZTXmcnqDBw2ObOnWq8vSQN998U110ud2MGTOQk5ODl156CT169FDvR6OADB48WH1nd955p1p29OhRrFixAgcPHnTN8wLN1580aZIKFfKivnTp0oCcBxp8f35eDz74oHp9Godjx47FokWLXGPef/999dnRMPYlEX3Pnj3qHBk5cqT6LObOnau269SpkzI8yZEjR9CtWzf1+fA7OfvsszF//nxcc801WLx4sTK+vFHZZ3fzzTcrI+vTTz9VBpi7sfT555+rYxWEkOIQBMFn5s2b5+C/zYYNG7yOGTBggCM6Otqxd+9e17LffvvNUbNmTcfll1/uWnbnnXc6bDab4/vvv3ctO3HihKN27drqPfbv3+9afsUVV6iHxrXXXuu48MILK9zXp556qtzraDRu3Njx97//3TU/depUNXbp0qXlxhYVFVX4PnytXr16OY4dO6YeP/74o+Pmm29WrzdmzBjXuK+//lotW7BgQant09PTSy0/fPiwIyoqSn2O7jz00ENqnPt+a99Hjx49HAUFBa7lf/zxhyMxMdFx2223lXoNvnZCQoJr+cmTJ9X2/Ky88f7771f6nROOefDBB/0+D7RjSE1NLfVZ33PPPY7IyEhHZmZmubGcVga/F45dtWqVa9nRo0cdMTExjgkTJriWjRs3To3j9+P++SUnJzuaNGniKCwsVMt4Hrm/ty+fHbdt2LChY+jQoaWWz5w5U537+/btq/Q4BCGQSHhLEAJIYWGhSjoeMGCACiVo0O1PDwxDDadOnVLL0tPTcemll6okYA2GF2688cZK34feBnpSNmzYEJD9XrJkCdq1a+fxrp6eqMrgMdMTwsdFF12kvCz0SDz11FOuMe+99x4SEhJw9dVXKy+S9qDXgaGfL774Qo1buXKl8hTRe+MOvQneYN5QZGSka57eBobrbrjhhlLvxTH0sGjvxVAV86W+/PLLciE2DS0J/OOPP/YYpqnueaAxatSoUp81vUR8nQMHDriW0UtD+8pXuYE2bdqo19Hg98OQEsNZGsuWLVPhL3rANPh9cH/ocWJY0RO+fHZMluf5TI/hH3/84Vq+YMEC5V1imFAQQokYPYIQQJiDwTCBp1yF1q1bq1yVQ4cOqXlezJo3b15unKdlZbn//vvVhYkXqwsuuABjxoxR4aGqwtybtm3bVnl7GhI0NGjIPf3008pQ4IXQPQF79+7dKheFeTeagaQ9GF5jaIRoF/mynwMNwrLhMo2yF0++F7nqqqvKvReNEe29GEpk6Iu5P8wvuvzyy1VYjeEXDeZcMYzDSjiG+ZizwvASK9MCcR5onH/++aXmtWP1ZlD4QtnX1F7X/TX5eXvbT229J3z57Ajzwlj1xdCcVjm4ceNGFfoShFAjOT2CYEB4QeLFg94HGhr01PznP/9ROS28OIcaGgOpqanqOXNomMTMHI7nnntOJecSXuhp8PAu3xPe8o18gV4Hd/hehB6n+vXrlxvvXlo+btw4lTv0wQcfqNyTBx54ANOnT1c5Jx06dFDeF+a2MAH5o48+UmOY9/Tvf/9bLaPxGQjcPVXuOCNn+nlNdyr77DRvE715b731ljKAOKUxPGTIkIDsgyD4g3h6BCGA8MLN6hcaJGVh1Q3d/Y0aNXLpnjDRtCyelnmCic9Dhw5VXgcmjrIy6bHHHnMl+/oSltJo1qwZtm7dikDBfaGH5PHHH3clFvM9Tpw4ge7duysDqeyD4TXtc/H0OXBbX70efC9CI8vTe5WthON46gzRC8TPIS8vTxk17rCiiZ8vK7louDGBd+HChdU+D8INP29v+6mtrwhfPjsaOzSEqOHECkOeH968doIQTMToEYQAwjtrVvr897//LVXyzAoZ/tgzb4LVPJpHZO3atfjhhx9c4zIyMrx6QsoaAO7wzpl31LyD1/JONK0aXxSZGb5hhZQWggiEV4AhOO4nK80I7+yZozJt2rRyY5nDo+0ny7rpiWGllTus8vIVfrb8nGl0ecrD0UrBGYIqWxHGizjL27XwFQ2tsp+BloflLcTlz3ngD/6UrPtKv3798O2336pzUYOG6iuvvKIqsHheecKXz06DuVU0wllpyHwid00nQQglEt4ShCrA0l+GlcrCH3Vq7TC/hRc2JuPyAs5SZV4ImPOgwTJmuvqZ2MskXa1knXkYNH4q8tTwgsqwDb0mzKdgqTmNAt5B86JDGFIgU6ZMwbBhw1TJNEMRnoT7qOnDEA61Whi64bbcByagzp492+WF8Qfq0zBPaObMmSrniJ4flqwz/EFDj8fAfWL+DZOcGQpjeTWPh58jvQUsm+7Tp48yyJg7wjCaLx4sGhQ0mpg3wvJ7Hj+9L/SIUX+Gnxs/L5b108iiQcaLO78rGn40TrgNYfk2Q4dM8uZFnQm5NOT4HjQYvOHreeAP/pas+wLL8CltwO+LJevMneIxU06AYVNvyt2+fHYa/Oz5PfJ7Zr4Xz1NBCAsBrQUTBJOjlQx7exw6dEiN27Rpk6N3796Os846yxEXF+f4y1/+4lizZk2512O5+mWXXabKiFnaO336dMfzzz+vXovl1d5K1l9++WVV9nz22WerbZs1a+a47777HFlZWaVef9q0aY7zzjvPERERUap8vWzJulYuP3bsWDWepdbcH445fvx4hZ8JX6t///4e173++uvlSqxfeeUVR6dOnRyxsbGqfPuiiy5yTJw4UZVza7D8/IEHHnDUr19fjbvqqqsc27dvV8c7evToct+Ht3LyL774Qn0PLFOvUaOG+pyGDx/u+O6779R6HhvL6lu1auWIj49X41JSUhzvvvuu6zX4Xd5www2O888/X33WdevWdfz1r391vYa3knVfzwNvx8B953JOq1qy7ul7KXsuEZbVX3fddarMn59Tly5dHB9//HGpMWVL1n357Nzhcm4/atSoSvddEIKFjX/CY24JguAtOZQeAVY0eUtEtSIMfzEPhB4Ueq8EY8FQH0v4V61aVaqMXhBCieT0CEIYYSmvO8yBYcURQyJWNnjKfi6ECsWkbBKyYAwYEqRmkbsekCCEGsnpEYQwQnFCXsRZgs5ciDlz5ijROpb+Whm2XmC7CubMsCScYn7MO2EeEPNxBOPACje2SGEuFfO2/KkqFIRAI+EtQQgj//znP1UCMdWVeTFg0i37EWmaN1Zl06ZNKtGbCc80ApnczAozhrYCpYsjhAae1/zOKK/ApHh3jSRBCDVi9AiCIAiCYAkkp0cQBEEQBEsgRo8gCIIgCJbAksFV9uX57bfflIibJNUJgiAIgjFgRg4FQhs0aOBVOLMiLGn00ODRS98bQRAEQRD849ChQ2jYsKGfW1nU6NFk+vmhVaX/jSAIgiAIoYfVnHRaaNdxf7Gk0aOFtGjwiNEjCIIgCMaiqqkpksgsCIIgCIIlEKNHEARBEARLIEaPIAiCIAiWQIweQRAEQRAsgRg9giAIgiBYAjF6BEEQBEGwBJYsWRcEQRCUvC2QkwHknQaizwLiarMWONx7JQhBQ4weQdC55PrJnHxknylAfEwUkuLs0jpFqD65mcDmd5C//mXYT+53Lc5PSoY95R9AuxuA2MSw7qIgBAObg7+qFlR0TEhIQFZWlogTCrokKzcfSzb+gre+2Yt9mWdcy5smxuCmHs0wuFNDJMTaw7qPukQ8F5Wz5zMULEoD8nOwxJaPxY48nIQDSbDhOls0BjvsgD0OUUPfAJqnwkzITYTxqe71W4weMXoEnfHVrmMY+8YG5OYXos/O1ei74xsk/HkaWTXOwv9a9UB6y+6ItUfixbTOuKLFOeHeXX0gngvf2PMZihYMQTrycIsjB0ds5X/+6zlsmGuLQx9EI+LGd01h+MhNhHk4pWejZ9WqVXjqqaewceNG/P7773j//fcxYMCACrf58ssvMX78eGzbtk311/jXv/6F4cOHlxoza9Ys9bqHDx9Gu3bt8MILL6BLly4+75cYPYKeDZ6R89bj8r0b8cSyZ1E3O7PcmKPxiZjUbxxWNeuEOSNSxPCxsOfCL3IzUTCzDZYXnMI1jmwUVuDgiHQAH9ri0SuqFqLG/2Rog1FuIszFqWpev4NavZWdna2MEhopvrB//370798ff/nLX/DDDz9g3LhxuPXWW/Hpp5+6xixatEgZRQ8++CA2bdqkXr937944evRoEI9EEEJzN8ofZxo8ryx+xKPBQ7ic6zmO47md0eGt1x9/VN1zwQt5Q5zCMORgsa0AK22Fasp5Lud6juN4y7L5HWUY0sNTkcFDuH6kI0eNx+aFMPpNROddG7BmVhpe/O8M9N+5Gj0ObFZTznM513McxwvmJmThLcZNK/P03H///fjkk0+wdetW17Jhw4YhMzMT6enpaj4lJQWdO3fGiy++qOaLioqUR+jOO+/EpEmTPL7umTNn1KNsl1bx9Ah6Yu43+/H4R1vVj7A3g8edo/FJ6DZmPqZc0xYjuifDyOzfDzRtCiQnAyNHAlOm+LCRRT0XVcLhQP7zHbD05G4Ms+X4vNkixGFg4gWw3/W94XKjeDPQ47EVyqDhTUKUo8jr2AJbBEZdNxUbWnTGN1OullCXjtG1p8df1q5di9TU0u5nenG4nOTl5alQmfuYiIgINa+N8cT06dPVh6Q9aPAIgp7gvQfzDeh+98XgIXWzT6L3rjV48+u9ansj8+OPJcZPTiXXZN6/9O4NPHDHHnyzp52lPBdVJidD5TotRp5fmzFUqHKkck/CaDCHhyEthokrMngI1z+x7Dk1fummX0K2j0Lo0ZXRwxydevXqlVrGeVp2ubm5OH78OAoLCz2O4bbemDx5srIKtcehQ4eCdgyCUBVYUcIES+Yb+APHc7vMnHxTGD3koosqHrtpE7B8OfDo65fgwe9v9JiM64nDNgeW2vKRv362M55mJVjNxvMM/h23a/yZqsQew4fVbyIEgxg9wSImJka5wdwfgqAnWEJLmGDpD9r408XbG5UtW0qeX3xxxWPXrCl5frrRast4LqoFy/cBldztD67xMTVhJKx+EyEYxOipX78+jhw5UmoZ52mkxMbGok6dOoiMjPQ4htsKglGhZghhRYk/aOPPKt7e6J6e6GjgggsqHuseybY39B7WNpPnotrE1Vbl+6xm8weO53aITYKRsPpNhGAQo+fSSy/FypUrSy1bsWKFWk6io6PRqVOnUmOYyMx5bYwgGBGKpFEzhCW0/sDx3C4xzriJl3/+Ceza5XzeujVgr+BQGHVYXezcqRWThYbnbLeE56La2GxKr4jl+9Th8YX6DhsGOeywp4w2XBKz1W8ihDAZPadPn1al53xoJel8fvDgQVeuTVpammv86NGjsW/fPkycOBE7duzAf/7zH7z77ru45557XGNYrv7qq69i/vz52L59O26//XZVGj9ixIhgHoogBL26kSJp1AyhDo8vsHrr0xbdcPNlzQytKrt9O1BY6Fto68AB5v45n3dp8hOuj4yyhOciIFCg0R6nhAdZzVYRXD/HFq/Go90wGA0r30QIYTR6vvvuO3To0EE9NIOFz6dOnarmKVioGUAkOTlZlazTu0P9nX//+9947bXXVAWXxtChQ/H000+r12jfvr0yoljOXja5WRCMBlVhKZJG4UGW0FYE10/qP06NH9SxIcySxFyZ0eMe2ureI8oynouAEJuoBBqptMzyfX4enuByru8DO6KGvmnI8n4r30QIFSNtKCSpWdCtIvNzqqLE04/zpH53K0XmuSNScLnBVWTvvRf497+dzynH5XaPU4477wSKJbrw6YencdWWFn7o9JyFXlE1ranT40XBeqkHBetBLgXrN4HmPWFU/Nbpuf5BbLjgEtHp0Tm6bkOhV8ToEYwim88S2rKy+bwbpYdnVlpnwxs8hEYOS9DJr78CDRp4H3vJJcDGjU5HzcmTQMKxkl5S1OFhWbonz8UcVy+p9wx9IQ9sr7KFqny/fK+y0UD7G4AaCTA6VryJMDunxOjxHzF6BCPcpVIkjZohZRsk0v3OUFitGua4Gz33XGeeztlnA8eOeY88ZWcDCQnO/J+2bd3CYhbxXAQF/vyzfJ/VbEzuZq6TyUI7VruJMDunxOjxHzF6BKPAf09qhrCElhUlTLA0U74BjZy6dZ3Pr7wS+OIL72Nzc4H333fm9dAbNHmy9TwXQtWw0k2E2TklRo95jR5+NRTZouYESzCTTHbBE4TPPwd69izJ13n++Wq+oAU8F4LBbyJ4juZkOFWyKRoZV1vO0RBev0WMQKd3JewbQxn1snclrEjgXYkk2glmwJ/KLZ/gxYMXET4EoQw0cJLio9Uj5Chv5DvIX/+yB2/kP5ySAlZOsA8RYvToOP7MvjETysSfHz+Zi2fSt+PFtM64QuLPgsG9iu7tJyrruSUIhqVs3hnc8s4yd2Nw+mRg5TQlKYDmpZtuC4FFwls6Cm+VrjR41mOjPGpOUMeFlQZzRqSI4SMY2qvYpQuwYYPTQXPqFHCWFwFdJjqz5xaF15n4rGskfCG4s6ekwvAWR47HBrnUmprrqjB8VwyfCpCcHpMYPX5rSlw3FRtadBZNCSFgXsWyVS0UdmNVS7C8iqzCqlnTmaDcvDmwe7f3sfPnA8OHO58/+yxw993QHxK+EMqSm4mCmW380JKKR6+oWqIlVQGS02MSeLfNiw89PBUZPITrqTnRLXm+qkgY0T05ZPspmIPKvIr9d652eRVHzisKildx3z6nweNLaMu9s3q7drBm+EI8SMZj8zvqnLgFORUaPITrqTV1KD9KVSKi6+hQ7aWl0FXDUatCZxvDC7zb9hTS8gRFtqg5wRJMCzrrhGp6FenhocFDr6K3c47LuZ7jOJ7bBSuJuTKjR2s/ERkJdO4MXYYveDffEKcwDDlYbCvASluhmnKey7me4zjebw/SupeQ/3wH4KmmwHMXq6maX/eSc72gPxwO5fVbgnyPIS1PUFyTRjOlF5SRKwQcMXp0ABNImU/B8II/cDy3YwmmIATTq8jx9CoGK4m5osqtrCxg69YSL098PPQVvliUpvI1GL7wdnHjcq7nOOUR8tVQoQdpZhsUpE/G0szduB45SEW2mnKey7neb0NKCD45GSrMSa+fP1BcU4VHKb1Awyf7BHDygHMqhlC1kfCWDmDFDGE+hT9o46k5EZYSTMFiXsVYDO/WJGBVXb6Wq3/7bclvfbdusE74QvMgMQEWOTgCB+D2HotRgHqwYW5BAfosGCIJsHqDYUje1PJ78wPXeHr3fnxP8sMCjHh6dABLhAkTSP1BG0+RLUEwmldR8/TExgJNm/qWz8PqLUuEL4LtQRKCD/OuAJXX5Q/a+IJVT4p3LwiI0aMDqInCEmFWzPgDx3M7qooK1oYenIzsPBzKyFFTb3legfAqBgL20dq71/n8wguduTqV5fPoztMTiPBFZR4kh+8eJI5XHiQhuPgacoqrrTwz7P/mD9fBjiw40BB/BD4/TJDwlh5guICaKBQeZMWML2EHdgZmo7wplzWT1hQWxl+dHb14FbdtK7lWVBTaKioqMXrq1wcaN4Z5whdsleFJObrYg7TUXw8S8jGQvccY/pDfhPBLEthsajkr9xiG9OW7rO+wYRCicC/OVOrd+9AG9FqUJuXtfiKeHp3AixM1UVgiTB2eiuD6Sf3HqfGDOjYM2T4K+is7p7bT4x9tRZt1n2HWB9Px1sIpasp5Lud6jtObV9HXfJ6ffnKKFmqhLV1dy6sZvlC9wULtQRKqRlUTymkI2eOU8CB1eCqC6+egBnIAvF7Jdy/evaojRo9O4N04ReCotEzhQXpyPMHlXL+qaUfMSuuse2FCX8MuRiPcx6Xp7FDMcs2sNLz43xlKW6fHgc1qynku53qO0wwfzatI4UF6FX1B8yreHECvoq/tJxgG694diInRWT5PdcIXtmi1nWqGGiwPkqAPSYLYRKXNRKVlCg/Sk+MJLv8QceiNKFyHHGT58G8m5e1VQxSZdaLI7EkllxUzZVVyefGhh4cGz+U6bkER7vYGZj6u6qp3+7399Q9iwwWXBFT9+6qrgC++cD4/ehQ4p5JT+cwZID/fe5uKsLHuJXWXz4uer+GLQ6iFqD5PeK/eYp7IU02VF4EXVV+53hGFdxEHTNwvDVf1pqhcVrzS4SZeaYvGIAf/r4owHWcw1ea7h8+K3/kpaUNhLqOH8KJETRQKD5a9sPJumxfWWjX0azCEu72B2Y9r7jf7VeiKnhxf87+6jZmPKde0dal3l1Zkfk6VpXvablK/u5X3ce6IlIAZ2fzFoZFz4oQzT+f332Ghi+JZ6BVVs+I8DOb0PN9BhU3oRfCVRYjDwMQLYL/re53FAQ1MII1alRO0UHlmyuUEXTwE+GqGCpnRg+QrqY5IrEA8cPcWIElPCW/BQ4weExo9GvxqWCLMihkmkDKfQu9Jy2ZtmqqX4+I50XPGSpWzwxCWr4wZMAnbU3pi5f09XedQuLyKNHIaNHA+v/pqYPlymKahJPMsGHbwdDGc42oo+R7QvGfoPUiCf2jG58ndGGYLoPHJSy7zrhiGZF4Xw5xsLyLevZBcvyWnR8fw4kTRwUa149RU7waPXtobmPm4AqmzQ6OMISt6gGgQjb12Em4e+qiacp7LV//r6oCHUX1VYmZIyxC3ZM1TlTAgwxo0PHjR48WId+Gccp7Lud4ng6cqCbC2eDUe7YYF7LAsT7ASyvk7TgOFnhmtf1qw8sOEcojRI5iuvYGZjyvQOjvM0WHIix6g7x+4Gl9P/Iuacp7LS4VRAySJ76vR88gjwLnnAoMGAbt2Qd80T1UhK3paeJfPu2+GHTjlPJdHTdjum8HjbwKsLR59YEfU0DeldDmQhDKhXCtvd9hRz8t37bG83WGHPWW0hDP9QHR6Ahx64J04L0zUQ2F5sN69M2Zsb2Dm4wqWzg73keFTR7FhxKnr/PVXnyRAjUapxHzkCPD++8ALL0D/8DPoOtr5mbiFL+y8C6/KOaB5kBalqdYV1OEplwALOxAVhwgaPL4aVEJ4JQm8wf+jldNUWxFf8sOUdy9KvHv+IkaPSSp6wo0WdplQhbDLJy17qLCLHvuH6e243HV2WJoeCJ2dis7f+1sfQc+t9wL5uc6qE7hddDN3K+E1/lDTK+Fr3yfN0xMRAbRu7XlMQYGz5xZp1Ag47zwYBy18EYgci2IPEhNgKTw4xN3oTExGFO/y298A1Eio/nsJpdFCTpm7VZ8zv0JOiclOY9cfNO/egiFKeLDy/DC709gV755fiNET4IqeCWWSQamy/Ez6dsNVKvmLWZum6u24Aq3eXdH5+3Pn83FV7v+QbsvHrQFqeMmy8+3bnc9btgRq1PBuGOUU545Sp8fSBNqDJPhGlRWV7U5jVLx7ukSMniBW9PBOXKvoGTmvyDCVSlVBL+0NrHBc9BzSkOZ55YvOjjf17grP3xigYNAWLEcBBiDXq6vdX0l85ubk5fkW2tLQnSihGTxIgn5DTuLdCyqSyGyCih49oJf2BlY4rkCod1d6/raPBm8ob7H9GdCGl77m87g3GRWjRwgb4Uoo17x7LHtnOTp1eCbud85TkkAMniqjz9trA1CVip5uyfNVRY8mEGcmzNo0Va/HRY8hPYdj34hQ51VFOjtzPejsVHb+5nexYykKAt7w0teeW5qnJzYWaN/ep10QhOAQzpCTePcCjhg9Jqjo0QuBCrvoDb0el6az41TvjlWJ0xr0Mk3xot5d6fkba4O9diQWoySp2Rd4IVCueOadePmR9qVcneKFP//sfN65M2DXpxNQsBIScjINYvSYoKJHL2hhF+YvMaxSaXuDph2VF0LvlW16Pi5NZ4eGtK/q3ZWev8WnZrX0SbwYPZqnp2ZNoLEX1XwJbQm6RBLKTYEYPSao6NET1Q276BW9H5em3u3LeVXp+VucaBxofZKsLODAgZJ8Hm/XCa1UnXTr5tcuCELwkZCToQmJ0TNr1iw89dRTOHz4MNq1a4cXXngBXbp08Tj2yiuvxFdffVVueb9+/fDJJ5+o58OHD8f8+fNLre/duzfS09Nh1YoePVHVsIveMctxVXr+5jqQn1GI65LsfvUBqkyfZOtW35KYH3sM+NvfnHk9li9XFwQhoAT96rto0SKMHz8es2fPRkpKCp599llloOzcuRN169YtN37p0qXI02pawU7MJ5ShdP3115ca16dPH8ybN881HxMTg1ARDIE4s1GVsIsRMMNx+XL+2r/Nx+DeMUoSP1D6JL5WbkVGOvN9Kkp0FgRB0GXJ+syZM3HbbbdhxIgRaNOmjTJ+4uLiMHfuXI/ja9eujfr167seK1asUOPLGj00ctzHJSUlhbyiJ71ld1XR4wtaRc/NOq5UCgZGa5pq5ONignJGdh4OZeSoKeerfP7+kAfkA3MdNQLW8NI9ibkio0cQBMGQRg89Nhs3bkRqaolKa0REhJpf656tWAFz5szBsGHDEB8fX2r5l19+qTxFLVu2xO233648Qt44c+aMakfv/qguDGMwf4MVPazYqQgjVSoJxoOaO3O/2Y+eM1ai47QVuOzJL9SU81zuSRuq0vP3DBD1bg76OKLwoSM2IPokvnp6BEEQDBneOn78OAoLC1GvXr1Syzm/Y8eOSrf/9ttvsXXrVmX4lA1tDRo0CMnJydi7dy/++c9/om/fvsqQiqRvvAzTp0/Hww8/DKtU9AjWoaptUHw6f/cW4tTSSFwxKBoHYcf7KCjde8sPfRI6nTRPD3tpeXPMTp/u7LvFBOYrr3SGugRBEAKFzeHNBx4AfvvtN5x33nlYs2YNLnWrPZ04caJKVl6/fn2F2//jH/9QhswWd7+4B/bt24dmzZrhs88+Q8+ePT16evjQoKenUaNGyMrKQq1atRCoi05FFT2zDFSpJJijDQrR2qBQvdlTGxRfzt+69j/xRsoBNN73locu677pk7Bqq0kT5/N+/YDimoRS8JeoYUP+bjhL2k+eFKNHEITS8PqdkJBQ5et3UD09derUUZ6XI0eOlFrOeebhVER2djYWLlyIRx55pNL3adq0qXqvPXv2eDR6mP8TrERns1T0CMaibBsJb4KJWhsUenNYbs9z1d3b6Nf565jgtz4J76moC/T5Gu6fs7uotwTlQ4ecBg9JSRGDxzDQWs3JAPJOA9FnOUu5dZDjJgghN3qio6PRqVMnrFy5EgMGDFDLioqK1PzYsWMr3Pa9995T3pmbbrqp0vf55ZdfVE7Pueeei3BghooewbptUHw+f/3QJ6FRxn2k8jOFELPWNgPQSq3LiDmKrNykcqFeaTJqMHIzgc3vIH/9yx48gP9wNuusbg8qQTBa9RbL1V999VWlq7N9+3aVdEwvDqu5SFpaGiZPnlxuO+bx0FA6++yzSy0/ffo07rvvPqxbtw4///yzMqCuvfZaNG/eXJXChxM9VvQI5qN6bVD2VljVFYjzlyGzHo+twOMfbUWbdZ9h1gfT0em7kovisoM/qfUc544oMRuIPZ+hYGYbFKRPxtLM3bgeOUhFtppynsu5nuMEwVI6PUOHDsWxY8cwdepUJU7Yvn17JSKoJTcfPHhQVXS5Qw2fb775BsuXLy/3egyXMceHRlRmZiYaNGiAXr16Ydq0aSHV6hGEcKHnNije8ozuRyM1tSMPaxcNwdT+Y1QStXuekbunp2vXoOyeEAj2fIaiBUOwHHm4BTk4wvYjbvbxYhSgHmyYW1CAPguGqGad7F0lCKZPZDZrIpQghBPq8LAs/a2FU9DjwGaft/u6SXvcPPRRfD3xL8qbE2gY0qIHp/OuDaXyjM4gGvHIRiGicDE2YzPaqzJ55hltaNFZ5RTZHXYkJDgrt9q0AbZtC/juCYEgN1N5cJYXnMI1jmwU2irWb6KcQa+oWs5mnRLqEnRw/Q56eEsQBGu0QfGWZ7QDrZTBQy7Cj6XyjDieeUbffec0eIj029Ixm98B8nNwiyOnQoOHcP1IR44az+7kgqAHxOgRBIPh3kbCH4LZBqWiPKMtKCnX0oyesnlGq1eXOJwln0enOBwqaXkJ8n1qTUIO2xxYastH/vrZziovQQgzYvQIgsHQYxsULc+IeUNl+REl8ssXo7TmFsdzu6/djB7x9OiUnAxVpUWBSn9Y7MhzVndR7kAQwowYPRbB175MgjHQWxuU7DPO2BSFDcvi7ukpa/Ro46+5Lh+jRjkNnhYtgrKLQnWhDg8NXCYu+4FrPPWdBMHs1VtCeCmrl6LBMAe9Bbx4SmsM46G3NigV5Rlpnp4kZKABitUHi9HGD73ehtHDg7JrQqCg8KD6Hv3zFLrGx9QMxl6ZExF8DBpi9JiYqvZlEowBvzOWfFNpmcKDFbVBmRvkNijueUb9d652LT+B2vgN57m8PLYQ5hkJASauthIevC5ztypL9xX2aMtPTHYqeAsVI4KPQUeMHov2ZeKFSevLVFYvRTAOemmDouUZ0ZDmeaWdb+75PO5JzO55RtxHEfI0ADabuvAOTp+sdHh8SWau77CpprRR7NEm33Hlgo+L0lS1G5O/SzX3zdytPnesnIaooW+I7lE1EKPHhASqL5NgDPTSBoXGFT2HNKS1885bPo97ntE5pxvhxAmgjPi6oEfoaVg5TQkP+qLTM8cWD0TFAe2GhXIvjYcIPoYMSWQ2IVXpy6TppQjGJdxtULQ8I3Z0pyFNT44nTw+Xcz3zjJ4c1AXX9I1CnTrAwIEh3V2hKsQmKk9DH0Qr4UF6cjzB5Vzfh16eoW9KSKYywcdFaUhHnjIkvXnQuJzrOU55hBgKE/xGjB6TEay+TILgT54RlZa7jZmPj5JK+uEdalELYwZMUsu5fu6IFNgz6rjkWxo0CN9+C37QPFV5Gqi0fAi1sAhxuN4RhVRHpJpynsu5PuLG94DmPcO9x/pGBB9DioS3TIae+zJ5gkYW95klz6wAYkKs5HeYI89o8Xe/4B/POi2ZqMRs3Dfw7nJ5Ro+4/W6LPo+BaJ7qbC2xeSEGrp+NIe5Jt4nJzhye9jcANRLCuptGEXxc6q/gI/LV566Sm+X30i/E6DEZFemlVIQ2nvkgoTB6pJTe3PC7u7JBMgqLdeyuujQGCx+4ulyekXuTUVFiNhgMWXUd7bzwUniQOjwxNZ1VWnIhDrrgozI0+bmznF3wGTF6TIZe+zK5I6X01mCLmw5hyiVRSIovvb6oCFi3zvm8Xj0gOTm0+ycECBo4vPDKxTc8go/yufuFGD0mw5teSmWESi9FSumtw49uFeoXlxRxudixA8jKKvHyiHNAsBwi+BhyJJHZZOixL5O3UnpvidZaKT3HcTy3E4zt6bmopIjLhYS2BMujCT7a/EspUIKPScmACD76jRg9JkRvfZk0pJTemp6eGjWA5s3Lr1+7tuS5JDELlhZ8dNhRz0v5v0fBR4cddhF8rBJi9JgQT3opnnDXS5kVxL5Mei+ll2asgScnB9i92/m8TRsgMtK7p8duBzp1CuCb8/vLPgGcPOCcyvcp6F3w0R6HubY4JehYES7BR7sIPlYVyekxKXrqy6TXUnqpIAseP/1UYmt4yufJywNq1QKiooAOHYDY2AC8qfQtEows+LhgCD4s1uFhWbonD88cW5wSfIwQwccqI0aPidFLXyY9ltJLBVl483mio4H1650eoSNHAvCG0rdIMIPg46I0HMqPUjo8LEt3ncO2aNXDjC09lMGjV8FHh/67w4vRY3L00pdJT6X0UkEW/sotjbi4AJSqS98iwQwYWfAx1zheVpvDggkMp06dQkJCArKyslCLPnYh6PA06zljJdqs+wwv/neGz9uxbcH2lJ5YeX/PgBhpDGn1eGwFOu/aUGEzVi3JmzlPbJkgzVj9o2dP4PPPnc/pyalbN4h9i2a2wfKCUz41wGQ/KLZHUBcXnfwIC0I5eFl2E3xUVVo685h48rIusZX3UDFJmzlIgfKyVvf6LYnMgqVK6aWCLLSeHho7ZQ2egN5mSd8iwcyCj0mN4YhNQkZOvj4LLfYUe1kLTqEhTmEYcrDYVoCVtkI15TyXcz3HcXy4EaNHsEwpvZ4ryMwEPTvHjnkPbW3eDJx/PjBsGPC//1W/b9ESf/sW2fKRv362VHUJuoZe6bnf7Fce8o7TVuCyJ79QU85zedj1y3KN2R1ejB7BMqX0WgUZK8L8geO5HXOihMCIEh46BCxaBOzaFZ6+RSrvgOEDQdAhzDtkGP7xj7aqlIBZH0zHWwunqCnnuZzrOS5sbDaml1USmQXLlNLrrYLMCknMQVVilr5FggkxRKGFw7jd4cXoESxTSq+nCjKreHo8hbc0JWYqNbdvX403kr5Fgsko26rHW96h1qqHHnHeQIa80CLHuN3h5VdcsEwpvd6bsZrN0xMR4VRjLpvvs2+f8/kllzj1eqrdtyhztypL96tvUWIy7NK3KDwYQMslXFSl0IIec95A8vc0ZOQZ18sqRo8QVmjgMGQUirCRVkFG4UG6h31JZtYqyOh9CqWukVEpKAC2bXM+v+CC8krLAe23pfUtSp+sdHh8cbOrvkWwOzVP5PsMrRFjIC2XcFC9QotYdQMZst+oaON6WSWRWbAU4a4gMzt79gBnzoSws7r0LQofNGLWvYT85zsATzUFnrtYTdX8updKV+lQy2VmGxSkT8bSzN24HjlIRbaacp7LuV4PJc3hwlCFFnHG7Q4vRo9gKcJdQWb1fB53oycgndW1vkWIVsKD9OR4gsu5nn2LoqRvUfXxx4gxoJZLOAhEoUXIsBm3O7yEtwTLobdmrFap3GKT0e++cz5v1iyAKs1m6VtkFPxq+3E9HBF2fFqs5eKttFnTcmHDTX6PVlTMNlyhRbsbVD87fs++qKErL2tU+L2sIfH0zJo1C02aNEGNGjWQkpKCb7/91uvY119/XcUl3R/crmzsc+rUqTj33HMRGxuL1NRU7N69OwRHIoQTfu9UJA2EMqlWQTblmraqzcXYayfh5qGPqinnuXz1v64WgyeARs/335eEvgIS2vLQtyiqzxMYmHgB3kUcViBeTTnP5VETtovBE2pBOkc+HIV/YpzBtFzCgXuhhT+ErdAi1phe1qCbhosWLcL48eMxe/ZsZfA8++yz6N27N3bu3Im6Xm712E+D6zXKJmc9+eSTeP755zF//nwkJyfjgQceUK/5008/lTOQBHOUcbKqgUl+jF1r8B+dicnM06lK+EkvzVjNGN6Kjy/fSLRjR2DDBmeIq3XrILw5f0y7jnYmxbr1LVJVWvJ9BlaQDr4bMYdwlrrg7fahvFkvWi7hwJCFFs2N52UNesNRGjqdO3fGiy++qOaLiorQqFEj3HnnnZg0aZJHT8+4ceOQmen5C+fuNmjQABMmTMC9996rlrHxWL169dS2w6htXwnScNRYQl3UrWAZJ6sayoah2MuLYSjm6Ugn9PDyxx+8YXE+79q1dKWWYAIoSPd8Byw9uRvDbDk+b7bQEYt2iEBrZJcKg3njekeU8tBh4n7LiUf63RD5+gex4YJLwt8QOZeVeQtVe5fylXmB7Q5f3et3UD09eXl52LhxIyZPnuxaFhERocJRayv4RTx9+jQaN26sDKSOHTvi8ccfx4UXXqjW7d+/H4cPH1avocEPgMYVX9OT0XPmzBn1cP/QBP1jCGVSwcXWrSXPPVVuCQanioJ07I02FHGoDRsyfNB10YOWS7g0h7RCC/6esZCCOjwsS/fk4ZnU725VaDFXD4UWscbxsgbV6Dl+/DgKCwuVF8Ydzu/YscPjNi1btsTcuXNx8cUXK0vu6aefRrdu3bBt2zY0bNhQGTzaa5R9TW1dWaZPn46HH344YMclBB/DKJMKPlduCQanmoJ0VGbJMIiWS6UEUXPI0IUWtuLu8Do2VnVXvXXppZeqhwYNntatW+Pll1/GtGnTqvSa9DQxr8jd08MQm6BfDKNMKviUxLx6NfD1184y9c6dy4sWCgagmoJ0f5hFMZvl+uwWnp+DpbZ85fly5bBk7lZimaxqYpIvc16M1KrHCgTV6KlTpw4iIyNxhNrzbnC+fv36Pr2G3W5Hhw4dsIeqZ8wEL96Or8HqLffXbO+lkU9MTIx6CMbAUMqkgk/d1RcvBp591vn8k0+Afv1Cu29CAKhq2w+VxFzoU2hL94rZfpXrD1FJvlU1fKTQwoAl69HR0ejUqRNWrlzpWsY8Hc67e3MqguGxH3/80WXgsFqLho/7a9Jzs379ep9fU9A3hlImFVypDZqn57zzgNq1vYsSMslZMCBVFaRDFPJgQyQMrpjtb7k+8pweIXdl6mq06mlUO05NxeDRuU4Pw0qvvvqqKi/fvn07br/9dmRnZ2PEiBFqfVpaWqlE50ceeQTLly/Hvn37sGnTJtx00004cOAAbr31VrWeXzirux599FF8+OGHyiDia7Cia8CAAcE+HCEEGEqZVFD8+iugFVyWzefJzQU2bXI+b9WqvEEkGIiqtP2IqoHWiDKUlkuF5fqiOWRogp7TM3ToUBw7dkyJCTLRmCGo9PR0VyLywYMHVUWXxsmTJ3HbbbepsUlJScpTtGbNGrRxa9c8ceJEZTiNGjVKlbb36NFDvaZo9JgDwymTChWGtjZudDYiDVjrCSF8aIJ0C4Yo9WRe2Kmt48mImWOLU0ZMxLB36As0lJaLx3L99S+rffelsa3VNYf0TNB1evSI6PToG56SPWesRJt1n+HF/87websxA5xqyivv7yku4BAzYwagyW69+SZw000l6558Erj/fufzV18Fip22gpEpm8xb1ohx2JVHKMrdiAmhlkvAyT6hmqmytxj7hfmKlTWHgoWudXoEwTLKpBanonJ1d0ku8fSYhOK2HzRi6MkY4m7EJCY7E5HLGjEG0nIJdLm+ITSHLIIYPYIuYTnmM+nblfCgL8qkk/qPU7oVgzo2DOl+Ck60JOaoKGfejgb9yFoSc2Ji6XWCwamqEWMALZdAl+vrWnPIYoSk4aggVFWZdFWzTkp4kJ4cT3A511OZdJYelEl13mg1GLB7uqY1SqMmOrpk3b59wNGjJVVbbul7glnQjJikxtVWJNYtWrm+ze3k9lVzKCkZ0KvmkAURT4+gWwytTKrjRquBhr2B8/M9JzG7h7ZEUUIwfLl++mSlw+NLMrPuNYcsihg9gq6xqjJp2UarE8oYe8x3YvhPD41WK8rnYad1qlMwxNW9e8h3TRACW66/cpoSHqQOT0Vl6yXl+jrVHLIwUr0l1VuGgaeqFZRJK2u0SrRGqwz/hbvRKqu2WL1FPv4Y6N8/bLsiCCFRZKbwYOXl+tGIuPE9fZbgW/j6LRF2wTBYQZm0bKNVb5VrWqNVjuN4bqfHnluCYCqap6rWEr2iauEQamER4lRZeqojUk05z+VcbwmDx+FwlvOfPOCcGsCHIuEtQdARRmy0qoW3EhIA6eMrmJ6qlOubjdzgdZkPNmL0CIJOMGKj1ZMngV9+KcnncX/7/fuBpCRnqbogmAojaw4ZoMt8MJHwliDoBCM2WnUPbZVNYh4zxtlnq21b4MSJkO+aIBimXF/vshTluswXnEJDnMKwYoXqlbZCNeU8l3M9x3G83hBPjyCYqNEqc530kM9TVASsW+cM8VOnR5qMCoJxZSncu8wvL+4y7616Tesyz95s7LemQoE6CnWJ0SMIOsGIjVa9latTu4ehL631hNk9/oJgZlmKUl3m4XuXeTaYVV3mu46GXhCjRxB0QlKcXd3h8Qev/87VPm/H8dyOJfyhxt3TwzCWhogSCkLVZSn4/6/JUoycVxR2WQqYqMu85PQIgs4araa37K5+8HxBa7R6cxgarTKEpRk9TZoANd3aC4nRIwjmkaVAToaq0mLSsj8sduQ5q7uY7K0TxOgRBB3BGD7bavAOj41UKyLcjVYPHABOn/acxKw1GWUD0s6dQ75rgmAqWQqOpyyFobvM6wQxegRBRxip0ap7Po97EjNzeX76yfm8fXsgNjbkuyYIJpSl2Bu+qq5o83SZl5weQdAZRmm06s3oWb++5LmEtgTTQ0MkJ8PpDaFxUEHpuiZLwaRlf+D/P/sOUpYi1BWapbrMZ+7GYjirTH3uMp+Y7NQv0gli9AiCDjFCo1VvGj1aaEur3BIEU1IFVWIjylKYrcu8GD2CoFMYsmJrCSot67HRqmb0xMQAF1xQspy6PBERzkRnMXoEU1JFVWJDyFI4vHiuTNJlXnJ6BEHn6LHRam4usGuX83mbNs6EZY3Zs4HMTODLL6UXl2BCqqFK7C5L4Q8hkaXIzQTWvYT85zsATzUFnrtYTdX8upfUEBpx7B7/oS1eeXI8weVc34denqFv6kqYkIjRIwiC32zf7vTkeOuszvL1K67QlVdbEAKmSpxerErsLcyjqRJznPII0aDQsyzFns9QMLMNCtInY2nmblyPHKQiW005z+VcT4zeZV6MHkEQAtpzSxBMi6ZK7PBdlZjjlSqxXmUp9vjpuaLHZ/xPiOrzBAYmXoB3EYcViFdTznN51ITtujR4iBg9giAErHJLEExLsSrxEn9ViW35yF8/25krozdZitwqeq4Iu8zf9T0wcT9w9xY1VfNsOVEjAXpFEpkFQQhYo9Grrwbq1weuvBIYOTLEpcF+lA4LQihViYdoqsQ8J/UkS7G5mv20tC7zxcdlBMToEQShyp6eOnWcRo5WtfVZcc7m/v0BNHoqKw1u2Q/Yucyv0mFBCIsqsZtxEHZZCod5+mn5gxg9Qjmo+kkRLWpKsMSSFQd6qBgS9AGNmyNHSvJ5tFMjKP22Ki0NngSkT1K6r0ttBT6XDgs6wwheuiCoEodVliIncJ4rIyFGj+CCDe3YF4Yy6VQNdb/rYMUB7zrC0e5AMEZoK+BGj5ZgiTzlfj/CO2a36wCVYSmUNgc10AtRmOs4g+W2wnLrqSvSZ8EQVXUiho/xBf7CRhBViTVZipAKD+YF1nNlFMToERRf7TqmOvmysR37wkwoE19+/GQunknfrhLw6JYVrEtIlJiLEyxp8FQkhEa3/LWOXHyAWFU90tjxB7Js5RMwP7QBvRalqaoT3VxErU4VBf7CholUic3WT8sfpHpLUAbPyHnr0XnXBqyZlYYX/zsD/XeuRo8Dm9WU81zO9RzH8YJ18VS5lZcHbNjgfJ6cXJLnE6rS4NvwJ+IApCHa59JhwZgCf2GFnid7HOba4pTqcEW4VInt+lMlLuW5svnnXVKeq6RkQEf9tPxBjB6Lw5AWPTyX792IVxY/4rXzL5dzPcdxPLcTrO3p4Y3rhRc6n2/eDPz5Z4C8PFUtDUYB7oAdnrz1nkqHBWMK/IWV2ERTqBKX8lw57Kjn5Tg8eq4cdtj16LnyETF6LA5zeBjSemLZs4hyFEvseoHrn1j2nBrPigPBehQWAlu3Op83awbExZUPbVU7n6eKCZY0klohErW9uOuZgGnXEjAFQwv8hZXmqYZXJTal50pPRs+sWbPQpEkT1KhRAykpKfj222+9jn311Vdx2WWXISkpST1SU1PLjR8+fLhK/HJ/9OnTJwRHYr4qLSYtM4fHm4enLHWzTypNiTe/3qu2F6zF3r0lHh33fB73JOZqe3qqmWBZ05cETMHQAn9hp3mqoVWJTem50ksi86JFizB+/HjMnj1bGTzPPvssevfujZ07d6Ju3brlxn/55Ze44YYb0K1bN2UkzZgxA7169cK2bdtw3nnnucbRyJk3b55rPoatngW/YFk6q7SYtOwPFNGipgRLLENabSDoKp/Hk9ETHx8AheZqJlj+YdIETFNgpjJpXvipSswqM+4XjemYms4qLSOFfpoXe64WpSnhQerw8PN2JZXbolUyNjumR9Dg0bshF26jZ+bMmbjtttswYsQINU/j55NPPsHcuXMxadKkcuMXLFhQav61117DkiVLsHLlSqSlpZUycupXO1vS2lCHh7BKyx+08dSUEKPHWngqV+fN98KFzhDXqVOlO66HsjR4MOzYgUJkePEQ+VI6LAQZM5ZJG1CV2JvniiFECg8qA7MY/s+o6rP2N+i6vYQujJ68vDxs3LgRkydPdi2LiIhQIau17v7wCsjJyUF+fj5q165dziNETxFDYFdddRUeffRRnH322R5f48yZM+qhcYq/zIISHiQsS/cHbTxFtARr4cnTw9985vEETJCwyqXBUZiAM6W0fAxROmwlLFombQhiTeK5CmdOz/Hjx1FYWIh69eqVWs75w4cP+/Qa999/Pxo0aKAMJffQ1htvvKG8Pwx/ffXVV+jbt696L09Mnz4dCQkJrkejRo2qeWTmgErLFB6kDo8/cDy3o2qoYE1PDxOYmzbVT4Llq6iBHABveAibmCUB0xRYtEzaUNiKPVdJjfWpjG3m6q0nnngCCxcuxPvvv6/yezSGDRuGa665BhdddBEGDBiAjz/+GBs2bFDeH0/Q05SVleV6HDp0KIRHoV+YAE6l5fSW3XE03rfENHb+ZSO8my9rJq0pLMbp08C+fc7nLFWPiNBHguV/EYveiML1yCklTGi2BExTYNEyaUvhcADZJ4CTB5xTvSSfh8LoqVOnDiIjI3FEa9RTDOcry8d5+umnldGzfPlyXOyeMemBpk2bqvfas2ePx/XM/6lVq1aph+CErSXYyXdSv3EosFV8OnD9pP7j1PhBHRuGbB8FfbBtW8nvl/YvyUqumTOdicxuEeQQlgbXRG/YEQEbbrXFGLd02EpYsEzaEuRmAuteQv7zHYCnmgLPXayman7dS/rQWQq20RMdHY1OnTqpMJRGUVGRmr+0ggSAJ598EtOmTUN6ejouueSSSt/nl19+wYkTJ3DuuecGbN+tAntpsbXEqmadMOq6qcqT4wku5/pVTTtiVlpn6cFlQTy1n9i4EZgwwVmmfscd4SgNnoGocT8iss8MY5cOWwkLlklboqXIzDYoSJ+MpZm7ldc1Fdlqynku53o9KGsHPROV5ep///vflfHSpUsXVbKenZ3tquZiRRZL0Zl3Q5ijM3XqVLz99ttK20fL/TnrrLPU4/Tp03j44YcxePBg5S3au3cvJk6ciObNm6tSeMF/2EtrzogUjH0jAt2S5ysdnr5lem8xpEUPz9y0zrhcem9ZEk/tJ9xFCbt2DWOCpQUSME0D7/iP70ZRfB30On0Yh3AWljoKsBj5pi2TNjV7fGsMrJfGv0E3eoYOHYpjx44pQ4YGTPv27ZUHR0tuPnjwoKro0njppZdU1dd1111X6nUefPBBPPTQQypctmXLFsyfPx+ZmZkqyZk6PvQMiVZP9Qyfb6ZcrZSW3/w6VunwaDBpecplzi7rtWqIh8eqeCpXD3hn9eqUBpuhdNhCTUaX2PKxDHnojEhcCzuG0MgpJj++HqJ6jDdNmbRpyfW9MbBeGv/aHBaU1WXJOqu4mNQs+T3l4SlB4UHq8LAsnVVaRkha5n5TcJH6QyzHTzLIfhsB/krUqQNkZACMIv/2m3NZgwYAnbH8Nzp5MsjJzYIpPALspcUWFKWkCBxQ7UOawobHEYuezNO66T19dFcXvLPuJRW6YnNYX6UlmGfHsDO9s+G4fovQilAOGgoUHTSK8CCbn7KHGFtqUGHa3UPF6jR6qCQHqXrQyKHB457P8/PPToNH8/KIwSNU2SNggxKV5KOv8gjEh90jIPjWUmSp342B85UAogpHh+GmVIwewdB8teuY6vrOJqjsITahTC7S4ydz8Uz6dpWszRCeELjQls9NRukSyslwqvFSnM6E2h+Cj01G4XuTUbZEUE1Gq+gREIJMjjFbiojRIxja4Bk5bz0u37tRdYkv2zS1/87VSn+I5fgj5xWpZG0xfAJXuVVpk1EmrG5+R90Nqu7mxVBkTt3lsXRZ7uLNj0E9AoI5W4qIQ1owJAxp0cNDg+eVxY947RLP5VzPcRzP7YTAVm7xetSli3FLWAX9egTsmkdA0B/RxmwpIkaPYEiYw8OQFj08UY6iCsdy/RPLnlPjWZ3mKQE6IzsPhzJy1NSCuf0+e3oiI4HWrZ3qzJoh1LYtkJDgoYS14JRKcByGHCy2FWClrVBNOc/lXM9xYviYnEB4BAT9EWfMliIS3hIMB40SJi0zh8ebh6csdbNPKv0hluMP79ZEJWtLArRv5OcDP/3kfN6iBRXOgRMn2A7GGeIqFdoyYAmrEGQM6hEQgtUYOLyNf8XoEQwHy9JppDBp2R8ouEj9IZbjb/k1SxKgfWTXLqfhQ9q1c05Zqv7WW87n2jqFJKwK3jwCmbuVUJ1fHoHEZKfIpKBP2t0ArJymhAcruskp1VIkKrwtRSS8JRgO6vAQGin+oI1fueOoSoDuvGsD1sxKw4v/naGSnnsc2KymnOdyruc4JkxbGU/5PO7Y7aUTVpf4m7Bqy0f++tm6a0woBAhpMmpeYo3XUkSMHjOh8+62gYLCg4ReGX/Qxj+0dLMkQFezXD0UCauSa2UipMmoeWnuS2Ng/TT+lfCWGbBYaTCVlpl3wzAUPTO+wvHn1IhARm6BXwnQ7EfGBOgR3ZNhdU8Py9Wzs5329FlnBaeEVXKtTOwRWDBE5XExrEkvnyePwBxbnPIIqJ5bJvrdMjXNnY2BGaamzIDS4SmGIUqVw6OTliJi9Jiolw3DBLzLdjXty9ytkswYc+UPjlkk3ZmEzIsf826ow+NLMjO7xLNpaoLNhr7VTIC2qqeHiu/nnw+8/jpw661OA2jGDKBXr8AlrIrYpAU8AovSVB4XdXjo5ZMmoyYh1ofGwDpAjB4jE8Lutnrra8W7fV78KDzIMFRFXpsCWwQm9R+HGvZInMgtVAnNVU2ANkprjkCRlcWmwCWhLX7l1OcpKgJ++MFZyRWohNU1hwow8vVvRWzSzBjIIyBUEZ03/hWjx6iEqDRYr6EGvifv9nnxG3XdVBWGolfGk4dnUr+7sappR8wYeDEmvLe5ygnQbMBqNaOnIiVmavZccklgSljzO96GsW9+58q18mbEarlW/M7HvhGBb6ZcLaEuo2EQj4BgTsToMSohKA3We6iB78m7fV78mHfDMFTfMvvIkFasPRJz0zqj7XkJ1UqAZsf5UKAnr1rZJObMzBLNnvbtgfj4wJSwLinogdz8g5JrZSV07hEQzIkYPUYkBL1sjNLXiu/Ju31e/Jh3wzCUuzdqymVOb1StGnZlTFQ1AZrbJcYF16OgR69a2STm9etLigI9NhmtQsKqbeibmLv4WLXFJgVBECpDjB4jEuTutmX7Wuk91MD35N0+L37Mu2EYil4ZGinuF8PqJEDTeArmhVWvXjV3Tw/bTTzzTMl89+4BSFgd8gZOJrRBXtanuGbfl37tm5VzrQRBqBpi9BiRIHe3rUpfKz2EGmiU8OJX0QWwKgnQDI8N6tgwSHutX68aPTqa0cOqLfbX0pqMevX0+Jqw2vHvfAfkL7sXSSf34xsmRA8C8q+Mh/3bfOCHPKDE2eURK+daCYLf/8w5Gc5rB6ss+ftvUe+oGD1GJIi9bALV10qvVCUBmvlAwfJg6dmrxqqtU6dKQluFhc7wFjn3XKchVKWE1V83oeBdLzILSXYM7h0DXBWDqHdzgL2Fusm1EgTDYTENN1+QXwsjEsReNoHoa6X3u25/E6AvD6JXRc9etbLtJ5jArBlBbDLqs23rnrBKmYW3K5BZsBWoVgVz7TXQ529xiHjbu+ETqlwrQTAkFtRw8wUxeoxIELvbVrevlVFCDf4kQAcLvXvVyparb93qY2grEDILyMWHiEWvIXGImvlHuVBXqHKtBMGQhFDDzWiI0WNUqlga7Gg3FCez80qVQxOtRDqvsMgQZd2hTIAOFnr3qpX19Fx4IdCnjzPE1bp1CGQW8CcO2c8C2kUD3+aFPNdKEAxJKDTcHMbNETLOFUqodmnw8rZP4cnnNpYqh2YvqiKbTSkVa9RAoW7LusOVAB0M9O5V0zw97KLeooXzeVKS0/AJmcyCowADU+ywFxs9ocq1EgTDEkwNt1zj5wiJ0WNkfCwNLoyMxegzd+PzNbXQZ+dnpcqhl7XsgfSW3RBbkI8717yDxpmHMevSIVjWopvuyrrNRnW7xQfTq3bmDLBzp/N5mzZOwycsMgu2fAypHYdPL+6KD5teGbJcK0EwJMHUcNtjjhwhMXqMTiWlwT83vQnXrTkfHfdux5plad7LofvchZmX3Yw5Sx7BO+/8E91vn4eJfe/Ga0um6aKs24xUp1t8sL1q27c7q7Xc20+EU2ZhWr9/IDqhYUhyrQTBsARLw22PeXKEIsK9A0IA0EqD7/oemLgfuHuLmubc9i0Grm+jDB6WO3vz2qhy6KWP4vL9mzD22vvVsln/fQLfNOmAWwc/oDw5nuByllAz1DBLQg1+o4klprfsrgxPX9C8ajcH2atWNp/n+eeBW24BXn3V2Yoi1DILH0/og5X391Q5WGLwCEIQNdy85AilF+cIefMgaTlCHKc8QgyF6RAxesyEVhqc1FhNl2z61b9y6PQXkBsVg6Vtr8IV+zcpr893DS9E1ztex5hrJ+HjVj3wdZP2ajpmwCR0GzMfG1p0xtwRKRJqqCL0WtBLRuFBes0qIpRetbJGz5IlwLx5wKhRQE5ONWQWbP7lICmZhaRkJJ5dT0KnghAODbfNxTlCDt9zhDhe5QjpEDF6TEq1yqE79FN2Pw2f1S+NQKtjP2Nlq0sx9tpJuHnoo2q6PaUnplzTFqv/dbUYPAEQS1zVrJPymunFq+Zers5KrQ0bnM8bNwYaNKiGzILDrnR4fEHJLDjssFcisyAIQmBuLlBWw604R2iJvzlCtnzkr59d0qhPR0hOj0mpcjn0rjX4pPXlyKxRE0l//oGEM9m4Y917ytD5YsIViIqMCGlZtxXQk1hiWaOndm3g6FEgN7dElDDUMgtoN6wabyoIFiLQGm45we3zGA7E6DEp1S6Hjo5VRo/7Mho8jWrHBXxfBX2IJWocPw78/ntJaGvdumqKElZDZiFi6Ju6L4EVBF0RyJuLvOD2eQwHYvSYlGqXQ+flGlp40IiEWyzRU2irXbvSTUar5enxtwM7DZ7mPav5hoJgMQJ5cxEdvD6P4UJyeixQDu0P/2vRDU1PHEJisZfH6MKDRkQTS6RXjdNQhxHLJjGvXet8HhcXoPL1YpmFqD5PYGDiBXgXcViBeDXlPJdHTdguBo8gVPfmIqoWDqEWFiEO1zuikOqIVFPOcznXR9z4nvf/tUDnCFnF6Jk1axaaNGmCGjVqICUlBd9++22F49977z20atVKjb/ooouwbNmyckm6U6dOxbnnnovY2FikpqZi9+7dQT4KC5VDf7/MZdeHqkRa0A/unp769YEDB5zPO3cOgEhhJTILap6qsDUSAvRGgmACmBCcfQI4ecA59SVBOBA3FzbzFSAE3ehZtGgRxo8fjwcffBCbNm1Cu3bt0Lt3bxxldqQH1qxZgxtuuAEjR47E999/jwEDBqjHVrduh08++SSef/55zJ49G+vXr0d8fLx6zT///DPYh2Pucug+dyK24AwGbf28ZJkID1oOzdPD36usrACGtnyQWdDjj6QghA1q3ax7CfnPdwCeago8d7Gaqvl1L1WuhROIm4t2NwD2OMy1xakcoIpw5QjZ9VuAYHPQbRJE6Nnp3LkzXnzxRTVfVFSERo0a4c4778SkSZPKjR86dCiys7Px8ccfu5Z17doV7du3V0YOd7dBgwaYMGEC7r33XrU+KysL9erVw+uvv45hwyr/oE+dOoWEhAS1Xa1atWBmvtp1DCPnrcflezfiiWXPqbL0sqh+Rn3uxKrkjpi7+GFc/vP3JT2OmnUSHR4LUVQE1Kzp1OJp1gy49lpg5kznuo8+Av7613DvoSBYBLe2D0ts5XPf6H2hcRGStg97nIrMFB6sPEcouuKQWTWp7vU7qJmpeXl52LhxIyZPnuxaFhERocJRa7VEgTJwOT1D7tCL88EHH6jn+/fvx+HDh9VraPADoHHFbT0ZPWfOnFEP9w/NKlRWDs3eW5+2uBTRBfkY//VbOFUjXgkPSo8ja7JvX4n4IPN3broJOOccZzJz167h3jtBsAh6a/vQ3DwFCEE1eo4fP47CwkLlhXGH8zt27PC4DQ0aT+O5XFuvLfM2pizTp0/Hww8/DKtSUTk0u6wnqi7rkXjyyuFhKZEW9EPZJOYOHZwPQRBCRHHbBxo8FZWca20fWKFFY0T1YAymvEPzivs8Kp2f9jfoPh/PEjXI9DS5e4/o6WGIzUpUVA5NwlkiLejT6AlIpZYgCP6htX2A720f6H1RbR+Yp+MLDocSHlQ6PCxL9zWfTssRYjd2Cg9ShyemJuys0jLINSOoRk+dOnUQGRmJI0eOlFrO+fosC/EAl1c0XptyGau33Mcw78cTMTEx6iGUlEPz4Y6nZYK1K7fo6REEXVPVi7deKW77sNTftg/IV94XZYxUdPy5mcqo4ntQaVmD5eVqWyYt++It0goQdCY8GPbqrejoaHTq1AkrV650LWMiM+cv9SLtyuXu48mKFStc45OTk5Xh4z6GnhtWcXl7TUEQ/PP0xMYCO3cC330H5OeHe68EIcBVTXqlGm0flBFD70tFidEz26AgfTKWZu7G9chBKrLVlPNczvUcZ2aCHt5iWOnvf/87LrnkEnTp0gXPPvusqs4aMWKEWp+WlobzzjtP5d2Qu+++G1dccQX+/e9/o3///li4cCG+++47vPLKKy5Pxbhx4/Doo4/iggsuUEbQAw88oCq6WNouCELVyM4G9u51Pm/TxtlRnWlydK7+9puxb6AFc1Y1sbElDQRXQm3mbtV3im0YQlLVFGiC1fZBb4nRZjZ6WIJ+7NgxJSbIRGOGoNLT012JyAcPHlQVXRrdunXD22+/jX/961/45z//qQwbVm61bdvWNWbixInKcBo1ahQyMzPRo0cP9ZoUMxQEoWr89FOJ5lnTpsDGjSVhLjF4BF1glou3t7BcINo+lH3tiAh9JkabVadHj1hJp0cQfGXOHODWW53PWar+1lvO5w8+CDz0UFh3TRCcVU0z22B5wSmfGml+aItXbRZ0dfGuNKdmGPJf+YsKNw1DsXaED7CtxMCEprCn3I78b18p9dqFsbXhyM1AQ/zhc9d1tqigYrPPidEGun5L7y2hWtBmzsjOw6GMHDW1oA1tyiTm004vu0JS5QRdVTU5fK9q4nhV1aQHfMqpuRD2pn+pQtuHKEScOoyCT/9Z7rVP5Z7AEn8To235yF8/27d2FwbDEiXrQuDJys3Hko2/4K1v9mJfZonwIzV+2POLGj8skxeMWa5OkUJCj3ugRQlpGJ/MyUf2mQLEx0Sp5rgikSCEtapJT2G5Ta/DFhmNuUVxPnm0qILMz2dlUS7Syrz22Q6bCn0tRr7fidFDtMRoA1ZoVYQYPUKVWluMfWMDcvML0WfnakxwU3hmR/bHT+bimfTteDGtsxJGFPQPb+g0T0/dusC2bSUJzQkB0hoTQ1kIR1VT2C/efosNxqOXzY4+Drt6XmnbB0ckvkMh+qH8azszhIKQGG1gxOgRqtHL61nUzS5dGtp/52rV1Z1NTkfOK1ItMMTw0T+Uxjp+3Pmcup1aP+BAhbbEUBZ0WdWkV7HBgihEXDICvTYvqrjtQ4QdjsI8XOPltbUodbUSo02GGD2CX3fqvHDR4Hll8SOIchR5HEdDiOtHXTdV9fxiCwy5gzdOaIsaPRrdu5vYUDabsJ2ZCURVk9HCcnu/gP2ebcCWRV7aPvwD+etewpLMvV5f+wQc2IFCDIZdhdB8hUYV30MpLZsMSWQWfIahCd6p88LlzeDR4Hp2ded49vwSrJnEXNZQLmXwxNqABJuaaoYyx3E8twsaZhW2MzNxtVWFEy/G/qAu3knJQLgu3tUVG6Snim0f7voemLgfuHuLmqr5i4bAnnmg4te2AS8hH4MR5WditB129tIy4U2AGD2Cz8mnzMVgaKLsnbo36mafVF3d3/x6r1R1GcjT06yZM8RVuzbQokWADWV2g0mJRv6d8cDEmsC4mmrK+aguUZix8tngGsqiSmtMbDaVjOx/VVOYL96BCMu5t31IalzikfTxtecjTxW/v4YaKvG5IpyJ0fGAPU6Vz5sRMXoEn2C1DZNP++74xq/tOJ7bsaGpoH9PT2SkU5/n4EFg9+7qXSvKGcrNIlEwviYKesdgaVJRaYMjqUgtT/pHIcb9vjA4hrJWQVNwCg1xSumgLLYVYKWtUE05z+Vcz3Fi+OgM9oWyx2GuLc44F+9ghuV8fO0sGzAEOeiNKHyAWGUMeoLLmTjdB3ZEDX1TP9pGAUaMHsEnWF5MmHzqD9p4dnAX9ElBQUm11gUXAJqwOT09ATOUm0Wi6G9xWG4vQEPbaQyLyC1tcETkquVcf3uTj9Hw1LeBNZSLK2jSiytovOVAaBU0HKdaHUioSz/EJqrWEn0QrS7Ohrh4BzMs58drL7cV4q/IwWWIwiGchUWOWFzviEKqI1JNKW5IQUKKOUbc+B7QvCfMihg9gk9QT4Ww2sYftPFnFW8v6I9du4C84rSAiy8OvKFcuygLBUPikG4rwDW23IoNDlsuPrUV4EX7s8g+dSJwO2N0YTvBSfNU1VqCF2depHmx1vXFO5hhOT9fm4ZPF5yGDTYMjK2HdxGHFYhX04GJFygF5qgJ28P/mQUZMXoEn6CAHPVUWF7sDxzP7RLjpHrLCEnMrVsH3lCu1SofrK69xfanbwaHLRexOIPau5cEtIJGVGlNQvNU1VqCF2lerHV/8Q5mWM7P137GFg+HPR72OzeVT4xmy4kaARLl0jFi9Ag+QcVcCsilt+yuyot94Wh8Ej5t0Q03X9ZMFHcNksT8+ONAly7AM88EyFBOiEbtC7OxBAV+GhwFsH//WmAMjupW0FDYTtAXDFl5q2rS28U7mGG5qr52XFL5xGiLIEaP4DNUzI21Ryo9lQJbxacO10/qP06NH9SxYcj2Uaiepyc/H9iwoaQNRXWgoTsy5WycG3MKi23+5ecsQQANjkBV0Aj6w1NVk9XCckYL+YUZSbQQfIYCg1TMpYAchQepw8OydE8enkn97saqph0xN62zCBMaxNMTHV2S2xMoJeb/a5MArAqzkq5Rhe0EU4blmCfmWWxwNND+hqp5qYL52iZDjB7BL6iUS8VcKi13S56vdHj6lmkpwJAWPTw0eC6XlgK6JisLOHCgRIk50EZPrZqJ4Tc4tCqXzN2iSivoIyzHBqj0YtKoj6npPMeq66UK5mubCDF6hCoZPmwtQQG5N7+OxSctS5KbmbQ85TJn88haNcTDo3e2bi15npvrnNavDzRpEqA30AyOk2E0OLQql/TJqpO1L7lFqoKG+Q8mVaUVdBKWC0Y/sGC+tgkQo0eoEgxZjeiejOHdmig9FerwsCydVVqStGzMfB53L0/AvkJ3g8MRRoODVS4rp2FuQUGFna5LVdBEmVeVVhCsiiQyC9WCBk5SfDQa1Y5TUzF4jGv0aHTrZkIlXSMK2wmCEHDE6BEEC+Nerq4RqHyegBocLF3PPgGcPOCcVqWUXapcBMHy2BwW7AR56tQpJCQkICsrC7Vq1Qr37ghCWOB/flKSM5k5KsrZjsJu5/9HSSuKgDf7ZGuH/Bwl/EcdHFZpMWmZOTxUoaWHRxk8msHBNhCb31Higs6u006YJ6QSNulF8tcbo15zoRIeLP+aUuUiCGa+fovRI0aPYFHYVLRx49LLUlKAdeuC+Kb+GBxuRtISD0bSYJeR9Iby4vgNf/rcqlxUnyMJzwqCqa/fksgsCBbFPZ/nrruA1FQgItgBb1/LarWO6MjDLcjBEer2uK1mJRgrsZiY3GfBEBW28tvwkSoXQbAcktMjCBbFPZ+HHp7/+z+gf38dKOlKR3RBEIKEGD2CYFHcPT0XXQT9IB3RBUEIEmL0CILFPT1MXm7ZEvpAOqIL/hKIyj7BMkhOjyBYEAoR7tzpfF6zJvDOO0DPnkDDcPeGrUZHdNVviHlCkqNjDYJR2SeYHvH0CIIF2bHDWaJOMjKA4cOBpUvDvVfSEV3wEVb2zWyDgvTJWJq5G9cjB6nIVlPOcznXc5wguCOeHkGwICERJawK0hFdqIxQVPYJvsFQYk6G82aF/7tlixJ0iBg9gmBByrafYIf19u0RfqQjulARxZV9NHgq6qGmVfZ9aAN6LUpD1PifJNQVSHKNG1qU8JYgWJCynp5LLnEmNIcdrUGpw64alPqCalDqsDvFDXV+lylUE6nsCz97jB1aFKNHECxIWU+PLkJbempQKugPqezTT2ix4BQa4hSGIQeLbQVYaStUU85zOddznB4Nn6AaPRkZGbjxxhuVVHRiYiJGjhyJ06dPVzj+zjvvRMuWLREbG4vzzz8fd911l5KbdoedvMs+Fi4US94ssDNKRnYeDmXkqKkFO6UEFSYu//prkDurVwfpiC4EuLLPrlX2CVXHJKKhQc3pocHz+++/Y8WKFcjPz8eIESMwatQovP322x7H//bbb+rx9NNPo02bNjhw4ABGjx6tli1evLjU2Hnz5qFPnz6ueRpVgrHJys3Hko2/4K1v9mJf5hnX8qaJMbipRzMM7tQQCbF6iMGYy8ujO0+Pe0f0RWk4lB+FpfDQoBR2ICoOEe4NSgXzEojKPpEzqH5oEb6HFvm/q0KLXUfD9EbP9u3bkZ6ejg0bNuASJgwAeOGFF9CvXz9l1DRo0KDcNm3btsWSJUtc882aNcNjjz2Gm266CQUFBYhiK2g3I6d+/frB2n0hxHy16xjGvrEBufmF6LNzNSbs+AYJf55GVo2z8L9WPfD4yVw8k74dL6Z1xhUtzgn37prK6GnWDKhbF/qjeaozAXXzQgxcP9upw1MMk5ajpCO6tZDKvrCHFpf6G1pEvvrfVcnNOsm3C5rRs3btWmWYaAYPSU1NRUREBNavX4+BAwf69DpaJ1V3g4eMGTMGt956K5o2baq8QfQiMczliTNnzqiHe5dWQV8Gz8h563H53o14YtmzqJtd2h3af+dqHI1PxKR+4zByXhHmjEgxlOHD8NzJnHxknylAfEwUkuLsXs/VcCQxd+8O/eJrg1LB/EhlX/jIMY9oaNCMnsOHD6NumdtHGi61a9dW63zh+PHjmDZtmgqJufPII4/gqquuQlxcHJYvX4477rhD5Qox/8cT06dPx8MPP1yNoxGCGdKih4cGzyuLH0GUo8jjOBpCXD/quqkY+0YEvplyte5DXXoN17l7ethZnQ/dIx3RBa2yL32y0uHxxeOgKvuY8yWVfdUjzzyhRb+NnkmTJmHGjBmVhraqC70x/fv3V7k9Dz30UKl1DzzwgOt5hw4dkJ2djaeeesqr0TN58mSMHz++1Gs3atSo2vsoVB8aBQxp0cPjzeDR4Ponlj2HbsnzsXTTLxjRPRl6Ra/huqIiYOtW5/PkZGDFipC9tSAEprJv5TQlPFiRTk+pyr4oqeyrNtHmCS36bfRMmDABw6lZXwEMOTHf5ujRo6WWMy+HFVqV5eL88ccfKkm5Zs2aeP/992GvREAkJSVFeYQYwoqJiSm3nss8LRfCH/ahF4RGQdmQljfqZp9E711r8ObXsRjerUlYw0RGDNf9/DOgFVBefHFI3lIQAl/Zt2CIEh5ksixzRzx5eObY4lRln0p0l8q+6hFnntCi30bPOeecox6VcemllyIzMxMbN25Ep06d1LLPP/8cRUVFykjxBr0wvXv3VkbKhx9+iBo1alT6Xj/88AOSkpLEsDEYzHNh2IdeEH/ou+MbfNKyBzJz8pEUHw09ofdwnXs+z0UXBf3tBCHwSGVf6LGZJ7QYNJ2e1q1bK2/Nbbfdhm+//RarV6/G2LFjMWzYMFfl1q+//opWrVqp9ZrB06tXLxWumjNnjppn/g8fhYWFasxHH32E1157DVu3bsWePXvw0ksv4fHHH1f6PoKxYGIvYdjHH7Txp4u3N3q4juMZrgsF7kbPhReG5C0FIWiVfVF9nsDAxAvwLuKwAvFqynkuj5qwXQyeQNLOHKKhQdXpWbBggTJ0evbsqaq2Bg8ejOeff961nto9O3fuRE5OjprftGmTquwizZs3L/Va+/fvR5MmTVSoa9asWbjnnntUeITjZs6cqYwrwViwkokwz8UftPFnFW+vF4wQrnM3em691Vmu3rlzUN9SEIKDVPaFllhzhBaDetVgpZY3IUJCI8ZdbffKK6+sVH2X3iN3UULBuLB0m5VMTOxlnouvcDy3S4zTV/WWEcJ17pVb2dm8uQjq2wlC8JHKvtDR3PihRX3dKguWgl4Nlm6zkomJvb54R47GJ+HTFt0w5bJmuktiDkS4LphGDx2qu3eXzLdpAyTpJ79QEAQj0NzYoqFi9AhhhVo1LN1mJVNFib+kwBaBSf3HIdYeiUEdG0Jv6D1c99NPpXsu6q71hCAIxiDWuKFF6bIuhBVWLFGrZlWzTqqSiZ4cT3A5169q2hGz0jrrUpjQPVznD6EK15VtP6GrJqOCIBg3tJjU2DnVucFDxNMjhB1q1FCrhqXbFB5kYm/fMmJ+DGnRwzM3rTMu12kLCr2H68q2nxCjRxAEqyFGj6Abw4daNSzdZiUTE3s16AWhUcBQWK0a+vPwGCVc5270JCYCLVoE/S0FQRB0hc1RWbmUCaH+T0JCgquZqaAveEqykomJvcxzYdhHb0nLvisyP6fK0j15eCb1u1uF9eaOSAmJ9+rss4GMDOfzvn2BZcuC/paCIAi6un6Lp0fQHTRwWMWkN7VlI4frjhwpMXh031ldEAQhSIjRI4TVo0NtG5Z6s/IpyWAeHSOF68omMUvlliAIVkSMHiEs/anYroHqxRTzczcGmAhMY0CP1Vn+wmNgJ3gqLYc7XOeez/PEE5LELAiCNRGjRwh5vgsbcrLfFNs1TCgT9mHlExOBWcYeqs7jVgjXuXt6UlMBH/r4CoIgmA4xeoQwJfg+W66km60oWOrNyqeR84pUXoxZDJ9wo3l6IiKcSsyCIAhWRMQJhZCFtOjhocHDUm5vGjZczvUcx/HcTqg4LyojOw+HMnLU1FMxZkEBsG2b8zl7bcXGhn4/BUEQ9IB4eoSQwBwehrTo4alIu4ZwPUu9WfnERGDmxQhVz4vaswc4UzIEf/4p4S1BEKyJGD1C0KH3gRdn5vD4olJMqG3DUm9WPjER2CxVXeHIi9q8uWTbX38FYmLCufeCIAjhQ4weIeiwLJ3eCF6c/YHaNiz1ZuWTUTV79JAX9cUXJXlRbdsaoj2OIAhCUJCcHiHoUIeH0BvhD9p4lnoLVc+LWrO2JJx4xRUh3GFBEMIP8/yyTwAnDzin1mvCUArx9AhBh8KDhOEXf9DGU9tGqHpe1K97Spb37x/8/RRMAi+OORlA3mkg+izDdNEWisnNBDa/g/z1L8N+cr9rcX5SMuwp/wDa3QDEJsJqyNVECDpUWmaCLfNNGH7xFY7ndhTzszpVzYv6y7bv8FrO/6l5Xq86dw7yjgrGRy6WxmfPZyhYlAbk52CpLR+LkYeTcCAJNlyXuRuD0ycDK6chaugbQPNUWAkJbwlBh0nIrChKb9ld5Zv4Ahtysj/VzZc1kyRmt7wo5jn5Q6PNp1zP69SRcnXBh4vlzDYoSJ+MpZm7cT1ykIpsNeU8l3M9xwk6Zc9nKFowBMsLTqEhTmEYcrDYVoCVtkI15TyXcz3HWe27FKNHCAksoWaDTSbYFtgqPu24flL/cWr8oI4NQ7aPZsyL2pzVxfVcRAmFCpGLpfHJzVQennTk4RpHNo7YPOfvHLE51HqOUx4hevcsghg9QkigZgxLqFc164RR101VnhxPcDnXr2raEbPSOpuiB1c486J+zGvvei5JzIJX5GJpDja/o0JatzhyUFiJg7zQBox05Kjx2LwQVkFyeoSQQc0YllCPfSNCJdhSh6dvGY0ZhrTo4Zmb1hmXSwuKaudFHShs4noekfwLsnLrBceQlKRXc1ws4fvF8lB+lPNi2XV0qPZSqAiHQ+VhLUW+V6O1LIdtDjV+4PrZznwtC/zPitEjhNzw+WbK1UppmcKD1OHR4EV9ymVONeFaNcTD4ykvisKDzIvyJZn5SFwS8gsjgQLAHvkn3tz+PRY/FhnYZq6S9Gp8zHaxtKoBnpOh/geZtOwPix15GML/3dyTzs/K5IjRI4QcehrYWoJKyxQepA4Py9JZpSVJy96hMUilZeZFUYenorJ15kXddcUUOP7nFHXsWfgF5s9KC2wzV6kQ0Te+XvzNcrG0ugHO75lFD/BPh+ekNv7MH/r4HoOM5PQIYYMGDpWWG9WOU1MxeAKYFzXoX1gV28217CL8GNhmrpL0ql948V/3EvKf7wA81RR47mI1VfPrXiqfhxOIi2W4kaozp2HLUDj8+x1N0sbH1IQVEKNHEAyYF7WhRWd0GzMfYwZMwseteuDrJu3VdMw1E9Ht9nnY0OhCXPvFt6WMHnfRQoocMsRYJSTpVb9U5eJv9IulGOBO4morr9Z1Nv9a9lxni1bbIdbzTZTZkPCWIJgpL+rEIUz5Yg4G/7gS3fPWuZZfjC2Ba+YqSa/6RLv4I099N0foiXH7fhajAPVgw9yCAvRZMAQRN77rDDtqF8vM3WqMXxfLxGTYw3mxLDbAecw0sL2dj5oB/qEN6LUoDVHjfzJfqMtmU2E8hpX5PfuSn1XfYcMg2BGVMtoaeU/i6RGsqGyckZ2HQxk5asp5I+dFvTf2MjX/yPL/4PvnbsDK127HiI0fITfvLGzFRcWjHWiFHaW2Z9UcxQ6ZU1WVpNcl/ia92vKRv3625fv+BI3qeN+0i6XDjnoO3y586mLpsMMe7oullGiXhnlL9jjMtcUhspJ/tUgHMMcWr8aj3TBYBTF6BEvA/JW53+xHzxkr0XHaClz25Bdqynkur1Z+SxjJyStU06YZvyLpzz9cN/ar4DSGyNk4gZgySapVbuZajaRXu5b0Kujv4m/Ei6UY4OWJTVSFA30QjQ9t8co49UR9h02t70Mvz9A3zef1qgAJbwmmhV4ctm/4fMdRPLh0M/4sKELfnasxoYw2EMvAWRUV0FLuMIsWLkM/1/M2+ClwzVylQsScJefaxXLBEBUColHEMZ4ulnNscepiGRHui6VZqs4CTfNUFbpkGI9hZX7PPGZXZaUtWoW0EBXn/A6b94SVEKNHMB302rAjORt0MoSj0fjkYXT8ZTt6/PwDEs5kq2UU+qPuTUBLuXUgWrgG3V3PL8OqwDVzNXrSqxkJ1MXfaBdLMcC90zzVmbe0eaEybNX3XEx+YrIzh6f9DUCNBFiNoIa3MjIycOONN6JWrVpITEzEyJEjcfp0xb2DrrzySpVY6f4YPbp08uPBgwfRv39/xMXFoW7durjvvvtQUOCnm14wJV/tOoYej63A4x9tRZt1n2HWB9Px1sIpanrRkT14/C+3oMftc/FVckfXNgEt5dZBM9c82LEXzVxjumFt4Jq5SoWI/ghkyXnxxTKqzxMYmHgB3kUcViBeTTnP5VETtoff4CFigFcMvXBdR8N+1/fAxP3A3VvUVM2zoMCCBk/QPT00eH7//XesWLEC+fn5GDFiBEaNGoW33367wu1uu+02PPLII655GjcahYWFyuCpX78+1qxZo14/LS0Ndrsdjz/+eDAPRzCAwTNy3nplvDyx7NlyqsUur06fuzBy8FTMWfIIrti/qVQpN9tjsCqKScJGFS383tEBhW7/2u6VW9Vu5ioVIvoj0Bd/7WLJsBe9QDSKYmo6q7T09P0ZueoslPA7o0fLrF4tvXh6tm/fjvT0dLz22mtISUlBjx498MILL2DhwoX47bffKtyWRg6NGu1BT5HG8uXL8dNPP+Gtt95C+/bt0bdvX0ybNg2zZs1CXp5/7l3BPNA7Qy8NDR5e+L21aVBenaWP4vL9mzD22vuRFRPvoZR7r6GqusqKFi6PLrkLr6E0Sn4JbDNXIya9mplged+0i2VSY322cjBy1ZkQNoJm9Kxdu1aFtC655BLXstTUVERERGD9+vUVbrtgwQLUqVMHbdu2xeTJk5GTk1PqdS+66CLUq1fPtax37944deoUtm3b5vH1zpw5o9a7PwRzwRweCu7Rw1NRewaXVyf9BeRGxWBp26sCU8qtI9HCJxrf6VreyH4An1C0cMAkJWbI9XNHpFSvmatUiOgLK1/8xQAX9GL0HD58WOXbuBMVFYXatWurdd7429/+prw4X3zxhTJ43nzzTdx0002lXtfd4CHavLfXnT59OhISElyPRo0aVfPoBD1BrwyTlvvsXO1TI85SXp0O/UplQlS5lFtHooWRx0r+7367MBZjr52E7Sk9MeWatlj9r6sD071eS3qNqoVDqIVFiMP1jiikOiLVlPNczvURN76njxwQM2PVi78Y4EKwc3omTZqEGTNmVBraqirM+dGgR+fcc89Fz549sXfvXjRrVpKc6Q80nsaPH++ap6dHDB/zwLJ0emdYiu4PfXetwSetL0dmjZpK46Zapdw6IS7Kju5dgfR05/w/b2qA20c3CE4zV6kQ0Q9GLDkPFEarOhPCit+/7BMmTMDw4cMrHNO0aVOVi3P06NFSy1lhxYourvMV5gORPXv2KKOH2377bUlPIXLkyBE19fa6MTEx6iGYk+xir4zmpfEVl1cnOtZl9FS5lFsn2O1A48Yl81deGo2kkrSlwGOUpFcrYOWLvxjgQrCMnnPOOUc9KuPSSy9FZmYmNm7ciE6dOqlln3/+OYqKilyGjC/88MMPakqPj/a6jz32mDKotPAZq8OY7NymTRt/D0cwAd4E+irD5dXJyy1Vyj2lKqXcOmJLSbEW2rYN0ZtKhYg+sPLFXwxwwQeC5sNv3bo1+vTpo8rPZ8+erUrWx44di2HDhqFBgwZqzK+//qpCV2+88Qa6dOmiQlgsZ+/Xrx/OPvtsbNmyBffccw8uv/xyXHzxxWqbXr16KePm5ptvxpNPPqnyeP71r39hzJgx4s2xKN4E+irjfy26qQadiX/+Uf1Sbp1QVARs3ep83qQJ4Fb4KFgFq1/8xQAXwiVOyCqsVq1aKcOGhgzL1l955RXXehpCO3fudFVnRUdH47PPPlOGDbdjKG3w4MH46KOPXNtERkbi448/VlN6fZjkTJ0ed10fwVp4EuirDJdA3/fLcCxQpdxh5swZYOVK4I9irbmLtH6jgjXRe8m5IIQBm8NIgiQBgonMrOLKysoqpQEkGFunh0rMnXdtUDo9FZWt06tz2+AHsK7RRbjswPf4vHmK8vDQ4AlIZVOY+Ppr4PLLS+anTAEefdTPF+HPQU6GU+WXondysQwM8rkKVsIRvPO9utdvY5aoCIIXgT72z6LXhurKLEv35OGZ2PdufNW0Ixy2COzpfKXK4aGqca0axvTwaKwt3W3CP09Pbqbq1M3GlaobejEUr1NhEpZEm6HSJ9TI5ypYiVz9n+/i6RFPj+laUVCZmUKF1OHpW6ajOkNaNeyReHjgxbiqVd3glHKHiYEDgQ8+KJmnVqdPuf17PkPBojQgPwdLbOUrfih6R00XlkQzUVbwEflcBSuxJzTne3Wv32L0iNFjylAX+2exnYR7l3UmO99sEq9OWfhfTMUGTSWCpetMlYuqzJe75zMULRiCdOThFkeOx15aVPml6B0F4FgSLRdoH5DPVbASe0J3vovRUwXE6LEGPLXZToLqyhQbNJNXpyx79wLNm5fMt28PfP99JRvlZqJgZhssLziFaxzZKLRVrOJLRVsqLKuSaAnJeEc+V8FK5Ib2fK/u9Tuo1VuCEE5o4CTFR6NR7Tg1NavB4ymfp1jhoWI2v6Nc0bwzq+iHihQWq/xyPDVghAqQz1WwEpuNdb6L0SMIJmDNGj+TmB0OlWy4BPkeXdFsSHa2w4bGDpuacp5tDZba8pG/frYznib4/7l6QD5XwbA4jHe+i9EjCFY0enIyVHXFYuSVWpzgAO5yRGM74nEcNfEzaqop57l8mSPPWZVB0TvB58+1Mpj0KZ+rYDhyjHe+S8m6IBgcihH++KOf4S3qZ7BZq1uP+V6OSLyLOMQBWIICPIAzruqLwbDjacTAlRZOlV9RvPXpc/UF13j5XAUjkWe8812MHkEwOPv2AYmJQEaGc/7ss52VXBVCwTC28IDNZfB8jDh8igLcij/LuaoXo0BVX8xBDfRFFCJ+2+RU+hUq/Fx9xTU+pmYw9koQgkO08c53CW8JgsFp1w7Yvr20l6fSnO242kowjPoZDGm9W2zwDECu19g8l1+LXKSjEAUf3OEUIhO8fq7+wPHcDuyPJQhGIc5457sYPYJgAtzDWz4pMdtsSiGVgmFjEa1CWvTw+FR9gVwgP1eqjSr5XOkZ84X6DhsGOeywswO6iSsMBRNiM975LkaPEWHGe/YJ4OQB51QqPiyPu9HjU7k6oSR8VCzuQ4zK4TFK9YXu4edqj1NCbNQlqQiun2OLV+PRblio9lAQLHu+i9FjJBhOWPcS8p/vADzVFHjuYjVV8+teknCDhdmypQo9t2ITETVgFhJgUyWn/iDVRpV8rkPfUMqzFGLjna0nuJzr+8COqKFvijChYExijXW+iyKzURSZpY+P4IG33wZee82Z03P4sNNbzGqu+HgfX4DewucuRiqysdJW6PP7pjoisQLxwN1bJKHZh//ZpR7+Zwe5/mffBJr3DPfeCoIhznfpsm6hvibL2dcEOTjCcj9bmcoa2DC3oAB9FgyRPj4W4osvnA+NZs38MHgMWn1hGJqnOqX2Ny/EwPWzMcS963RiMqKY09D+BqBGQlh3UxCsdL6Lp0fvnh7p4yNUwIUXAj/9VDI/aBCwZImfiqrPd8DSzN0YhhyfN1uEOAxMvAD2u76X5Ftf4M8sQ4HUJaGhyKoV+dwEs+II3vkuvbfMjsH6mgihIzOztMHjVz6PgasvDAk/J4qwMRTIqXxugpmx6fd8F6NHzxiwr4kQOtatK7/M58otA1dfCIIgVBUxevSMAfuaCOHrt1Vlo8dg1RdCeGFGREZ2Hg5l5KipBTMkBAMjicx6xoB9TYTQsXZt6fm4OKBp0yq+WPNUlQDfa1EaDuVHYSk8VF/ADkTFIUKqjcILjYycDOfvAxPRQxQ+yMrNx5KNv+Ctb/ZiX6arCxuaJsbgph7NMLhTQyTE2oO+H4JQHcTo0TNSWSN4obCwfHiLSc0REeavvrAs1OHa/I4KeStPbjGU82delgpTBsn79tWuYxj7xgbk5heiz87VmLDjGyT8eRpZNc7C/1r1wOMnc/FM+na8mNYZV7Q4Jyj7IAiBQIweI/Q1ydytytL96muSmAy79PExLVu3AqedjsDqhbbKwotm19HOi6hb9YU6l3SUjAira6DAzQuXuRuD0ycDK6cFRaeLBs/Ieetx+d6NeGLZs6ibXVoEtf/O1Tgan4hJ/cZh5LwizBmRIoaPoFskp0fPSGWN4GNoq0qVWwatvrCsTlfBKTTEKSUtsNhWoMQkOeU8l3M9x3F8IENa9PDQ4Hll8SPlDB4NLud6juN4bicIekSMHr0jlTWCBwYMAN55x9lhPaCeHkF/Ol2L0pCOPKXT5a2Kk8u5nuOURyhALWmYw8OQFj08UY6iCsdy/RPLnlPjl276JSDvLwiBRowevROAyhqptjAf9esDw4YBSUlB8vQIsLpOF38nmLTMHB5vHp6y1M0+id671uDNr/fK74ygSySnxwhUsbJGqi3MDa8pWqPRc88F6tQJ9x4JwdDpWuqvThfyVSK6ysuqRljyZE6++t1g0rI/9N3xDT5p2QOZOflIio+u8vsLQjAQo8co+FlZI9UW5uf334GMDOdz8fKYkGrodKnfByaiV0OyIvuMs3iCvxv+oI0/faZAjB5Bd4jRYyR8rKyRagtz88knQG4ucKbEeSdGjxkJs05XfIzz8sAbJX/Qxp9VvL0g6AnJ6TEiFVTWSLWF+ZkxA7j+euCmm0qWSRKzCQmzTldSnF2FwukZ9geO53aJcRI6VzHo7BPAyQPOqeQ5hR0xekyGVFuYm/x84LvvnM/PcrsBF6PHxDpdNv9CREqnKynZ2dm6GthsNpX7l96yu/IM+8LR+CR82qIbbr6smdreskYEq+fWvYT85zsATzUFnrtYTdX8upcCVl0n+I8YPSZCqi3Mzw8/OENbJKo4ehAZCbRqFdbdEkyq08Vih1h7pAqFF9gqvlxw/aT+49T4QR0bwrJGBIUkZ7ZBQfpkLM3cjeuRg1RkqynnuZzrA6mnJOjE6MnIyMCNN96IWrVqITExESNHjsTpsjKybvz888/q7sDT47333nON87R+4cLql2iGkmCUkWvVFqye8AeO53asthCMI0r4xx/OaYsWQI0aYdslwcQ6XazuZLHDqmadMOq6qcqT4wku5/pVTTtiVlrnwFaFGsmICKOQpOAbQc00o8Hz+++/Y8WKFcjPz8eIESMwatQovP322x7HN2rUSI1355VXXsFTTz2Fvn37llo+b9489OnTxzVPo8oIBLOMXKotrNVZnf23iIS2LKDTtWAIPizW4WFZuicPzxxbnNLpUrIVAezBxSIHFjuMfSMC3ZLnK89w3zLVoAxp0cMzN60zLg9kUYRmRCAPtyAHR5ik7ebAYnueerBhbkGB+owo7RHoNhz+CklyXykU6U1XSROS5PdJGRJVlRuknmlCCI2e7du3Iz09HRs2bMAll1yilr3wwgvo168fnn76aTRo0KDcNpGRkahP1TU33n//fQwZMgRnuScwFBs5ZcfqnWCXkUu1hXU8PTExJdVbUrllcqqo0xVI+Hv0zZSrVe7fm1/HKh0e9xu2KZc5b9hq1bBb14jQhCThu5Akv08lJNl1dKj20vIE7Sq3du1aZZhoBg9JTU1FREQE1q9fj4EDB1b6Ghs3bsQPP/yAWbNmlVs3ZswY3HrrrWjatClGjx6tvEjeEufOnDmjHhqnTp1CqAlFGbl7tQVfz1ek2sIY/PorcPCg8znt/QMHnM/F02MB/NTpCgb0QI/onozh3ZqoUDg9w7xR4u9GUJKWjWREhFlIUtCB0XP48GHUrVu39JtFRaF27dpqnS/MmTMHrVu3Rrdu3Uotf+SRR3DVVVchLi4Oy5cvxx133KFyhe666y6PrzN9+nQ8/PDDCBdly8i9VVVpZeSMjdOVzDsrf0JdWrUFPUY0oHxJZtaqLXinFpQfLiEo+Tx2t9PCo6eHOWI5GU6tF5Y+S9NQy+h0BRv+TjAMHtRQuNGMiDALSQpBTGSeNGmS12Rj7bFjxw5Ul9zcXJX7w+TnsjzwwAPo3r07OnTogPvvvx8TJ05UeT/emDx5MrKyslyPQ4cOwaxl5LqpthCCms+TleWc1qwJNG5s0CoXIeA6XaahGkaEXTMijCYkKejT6JkwYYLK16nowZAT822OHj1aatuCggJV0eVLLs7ixYuRk5ODtLS0SsempKTgl19+KRXCcicmJkZVkLk/zFpGrotqCyEosErrssuA2Fjg2LESL4/rmhfqKhejaKYIxsNoRkSYhSSFIIa3zjnnHPWojEsvvRSZmZkqL6dTp05q2eeff46ioiJlpPgS2rrmmmt8ei/m/SQlJSnjRm+Eo2lfWKsthKAxerTz8eWXwF/+UiafJ5RVLvQWbX5HhR/UXXUxFMRTYQWWWUs1imAlI0ITkszcrf7X/BKSTEx2higFY+f0MBeHJeW33XYbZs+erUrWx44di2HDhrkqt3799Vf07NkTb7zxBrp06eLads+ePVi1ahWWLVtW7nU/+ugjHDlyBF27dkWNGjVUOfzjjz+Oe++9F3okXGXkYam2EELC9u1l8nlCWeVCb9KiNJVgutSWr8IPriqizN0YnD4ZWDlNlVmHrXRYMD5GMyI0Icn0yermwpc8JCUkCbszCd2MIUqdEtQa5QULFihDh4YNq7YGDx6M559/3rWehtDOnTtVGMuduXPnomHDhujVq1e517Tb7aqa65577lGhn+bNm2PmzJnKuNIj4SwjD3m1hRAStmwpY/SEqsrFSJopgn6oSlK9EY0IejhXTlPnf0U3H6WEJKMCJyQp+IbNYcHeAyxZT0hIUEnNwc7v4cfbc8ZKtFn3GV787wyftxszYBK2p/TEyvt7ioEigOlxjPTyVOjRA1hdrEhwMsOB+Dc6YOnJ3RhmK33zUBGLEIeBiRfAftf3vl0g6E2a2UYpyfryg/6hLR69omqJ8JqVqW4Y1O9z7iz0iqoZ3nOu+MYgHXk+CElGI+LG94Kiq2RmTlXz+i29t4KMLpv2CYaCtyXM3alXD/j734Eff3QuP/98IDE6RFUumjfJ4bs3ieOVN0mwHoFIqtfUqBGtjGgaC57gcq6nGnVUgNWoqywkGVULh1BL3Vxc74hCqiNSTTnP5VwvBk94EKMnBEgZuVAdfv4ZOHLEWbG1fz/vdNxCW6GocinWTFnir2aKLR/562dLVZfVCGT/KSMaEcVCklF9nlDe1HcRhxWIV1POc3nUhO362FcLIn0HQoBWRk6lZZaJU4eHZemePDyT+t2tyshZVSVl5EJZfZ6GbnawqtwKRZWLCK8JvhKMpHodqFEbVUhSKI8YPSFCysiFQCgxu3dTV0ZPKKpcAuFNEqPHGgQrqd6oRoQmJCnnv24QoyeESBm58WFiOrWXKEXAyjz2Owt23pXm6eHbaErMrvBWKKpcjKaZYmb03F4kFK0jxIgQqokYPSFGysiNCfunsZ0I1bUpNulurDJRncZqMMKRp08Dmzc7n194IaB1eGHvLSo0h6RU1miaKWbECIKQEgYVDIAYPWEiJE37hIDw1a5jqmEs+6GxnciEMmFJNnh9Jn27ytuiNy+QbNgAFBW3a+vaFZg3z/m8TRu3pqNalcuCISpHovJSWTsi/KlyMaJmipkwiiCkhEEFAyBGjyBUYvCMnLcel+/dqBrGlu2f1n/naiVFwMo8JqozbyuQho97EnOjRkBhoZfO6lqVy6I0lSPBkAHvoF0XR1u0MkLo4VEGj7+VIyK8Fh6MJAgpYVDBAEjJuiBUENKih4cGzyuLH/HaMJbLuZ7jOJ7bBTuJuZzRE+xSWSNqppikEopCdzQ0vXnYtEoojlMeIYbCwoEWBrX5571WYdCkZEDCoEIIEKNHELzAHB6GtOjhiXIUx5i8wPWUIuB4JqoHip9+ck7r1HGqMmu4Go16q3Kh0vLE/cDdW9RUzbM6pjplvUbUTDEyRhOE1MKgDjvqeTGKPYZBHXbYJQwqhAgxegRLV2JlZOfhUEaOmrp3ZOFzJi0zh8ebh6cs1F6iFMGbX+8t9VrVYfdupwLzG28AW7dW4unxVOWS1DiwFT4ivFbheRPANzGmICTDoPY4zLXFqTBnRbjCoHYJgwqhQ3J6BMvhSyVWYZFDrWPSsj9Qe4lSBKzMC0SSemQk0Lat8zFypHNZUhLQoAHCh1E1U4xUwWfUSqhgJ9ULQjURo0ewFL5WYj040Bk/4jp/0MZTiiCQlXnHjwO//14S2tKFbWEhzZSQV/AZuRIq2En1glANxOgRLIM/lVj3v8ccHpu6qPmDNp7aS4FEazJaYT6PYJ4KPqNXQhmxdYRgCSSnR7AEfldi7dsIe1Ghuov3B45nuINik9Xa3yygd2/goYeAdetKGz2V5vMIxq/gM0MlVDCT6gWhiojRI1gCfyuxZix7DoU2G/7Xopu6i/cFNoxl/7SbL2tWbXXt9euB5cuBhx8GFiwQo8dyFXxmqoQKVlK9IFQBMXoE01PVSqzUPeuV8cKwRYGt4n8Vrp/Uf5xqGDuoo1sr9ACIEnbrBmzZUjLPpGYh+IS9gk8qoQQh4IjRI5geNghltQ0rq/zhmp++UsbMqqadMOq6qcqT4wku5/pVTTtiVlrngFTwuBs9KSkl5erNmgFn+ZdmJIT4vOF4bscKvmohgpCCEHAkkVkwdAdyX+D+VKcS64nr2+Hh9yPQLXm+uovvW6ZyhyEtenjmpnXG5QGo3GGrCYa3SP36zvmcHOe8hLaMc94EpIJPKqEEIaCI0SMYtgO5r9AAU/tZxUqsnq3q4eop9VWexptfxyodHvdjnHKZ8xhr1bAHTIX51KmS0JZfooSCbs6bgFXwSSWUIAQMMXpMQDg9LOHsQO4r/DxonHB/WF5clUosfp4juidjeLcmKmzBu3he1LR1gaSifB4pVzfWeRMwLCoIKQiBRoweE3pYkhOiMTilCa5qXQ/1a9UImhEU7g7kvsJjp8eJBhj3x5ekVK0Si14c98+OzxmyCKTwYEVNRmn0/PvfJfPi6THmeRPAnbKMIKQgBAObIyiNY/TNqVOnkJCQgKysLNSqVQtGpKyHhXkmUYUFWHFBVyxvcSlOubnkgxFmosHV47EV6Lxrg9Inqaicl8nATPTd0KIzvplydVhCXX7v7/UPYsMFl4Rlf1u0cPbcio526vW0awfs2uXssn76tLM1hRAajHTeCIIVOFXN67dUbxkQzcPCH+I1s9Lw4n9n4Ky8XNz71/H44MK/4PL9mzDrg+l4a+EUNW2z7jM8/tFW9ePNbc3SgdwfeAFiiG1Vs9BXYvnbboIGD+nUCSgqKpm/8EIxeEKNUc4bQRB8Q8JbBleIpUHxVXJHjBw8VRk7T6Q/H/QwU/X0S2JVXkw4qrp4zDz2sW+ErhLLX2JinB3VGeKix2fbtpKG2ZLPEx6McN4IguAbYvQYjLIelqyYeIy99n5l8Lyy9FGvXhdNJp93o/zxro77XdMvCXcH8qpewHjsoarE8peaNYGbb3Y+yJw5Jesknyd86P28EQTBN8ToMRCePCxL2vZEblSM8vD4Gmbi3Sp/vFmNZFj9kmpAYy9UlVjVRRqN6gcjnTdCNaF7NSfD2e2ezV+lfYZpEKPHQJT1sDDq8VaHvuiza01Iw0y60S+pJqGoxKouUq6uP4xw3ghVJDcT2PwO8te/DLu7HlJSslMugK1BRPHa0Egis4Eo62E5GVsL+85uhL5+aIgEQibfXb/EH4KiX2IiDh4E/vtf4OjRkptNzdNTrx5wjqSKCELw2PMZCma2QUH6ZCzN3I3rkYNUZKsp57mc6zlOMC5i9BiIsh6WbHuNaoeZqqNfkt6ye1g6kJsVGjwDBjgNnHnzgCNHnNVcRLw8ghBE9nyGogVDsLzgFBriFIYhB4ttBVhpK1RTznM513OcGD7GRYweA1HWwxKf/2fYwkxM2mS1Sjg6kJsVdyVmGjnuoS1JYhaEIJGbiYJFaUhHHq5xZOOIzbN0HZdzPcdxvAqFCYYjaEbPY489hm7duiEuLg6JiYk+J+pOnToV5557LmJjY5GamordmkhJMRkZGbjxxhuVKBFfd+TIkThNxTYLUNbDkpR7Ck1PHML/WnYPeZhJ9EsCT4MGQJMmQFyc0+iRJGZBCAGb3wHyc3CLIweFlTihuX6kI0eNZy80wXgEzejJy8vD9ddfj9tvv93nbZ588kk8//zzmD17NtavX4/4+Hj07t0bf/7p9GgQGjzbtm3DihUr8PHHH2PVqlUYNWoUrIK7h6XQFoGbvv8f0lt0C0uYSdMvodJytzHzMWbAJHzcqge+btJeTTnP5Vw/d0SK6JdUAttN7N8P/PILYLeLp0cQgo7DoZKWlyDfq4enLIdtDiy15SN//ewSES3BMAS9DcXrr7+OcePGITOzYlcgd6NBgwaYMGEC7r33XrWMMtP16tVTrzFs2DBs374dbdq0wYYNG3DJJZeoMenp6ejXrx9++eUXtb0V2lC497ya8tmrGPD3meh8aFuFOj3BlMmnYKJTv6R8l3UaV6JfUjVycpwd1+nxuYFNtJ0pXIIgBIrsE8BTTVWyMnN3fOV6RxTeRRwwcb/0QQsx1b1+66N2GLzD3Y/Dhw+rkJYGDywlJQVr165VRg+nDGlpBg/h+IiICOUZGjhwoMfXPnPmjHq4f2hmUYjtndwRHX/5CV817YTbBj2AGUqR+aRHD8+kfnerMNPcAIeZRL8kODDMxVPd7XQXBCGQ5BVXwioBEN9xjWe3ezF6DIVujB4aPISeHXc4r63jtG7duqXWR0VFoXbt2q4xnpg+fToefvhhmFkhtjDzDL5q2hFd73gdfXatRb+doZfJF/0SQRAMBYUHWSQC/27OXONjagZjrwS9GD2TJk3CjBkzKhzDEFSrVq2gJyZPnozx48eX8vQ0atQIRqesh+X3rFx8sfMYltSOwzI3DR2RyRcEQfBAXG0lPHhd5m4shu/hrets0chPTIY91nMBh2ASo4f5NsOHD69wTNOmTau0I/Xr11fTI0eOqOotDc63b9/eNeaoptxWTEFBgaro0rb3RExMjHqYFXcPS5sGCbjjymYSZhIEQagMm00pLQ9On4x6sPmUzFzfYcMg2BGVMlpaU5jd6DnnnHPUIxgkJycrw2XlypUuI4ceGebqaBVgl156qUqI3rhxIzp16qSWff755ygqKlK5P4ITCTMJgiD4CFtLrJyGuQUFSoenorL1SAcwxxYPRMUB7YaFci8FvZesHzx4ED/88IOaFhYWqud8uGvqMAz2/vvvuy7UrPJ69NFH8eGHH+LHH39EWlqaqsgaQJlaAK1bt0afPn1w22234dtvv8Xq1asxduxYleTsa+WWIAiCILiITUTU0DfQB9H40BavPDme4HKu70Mvz9A3pQeXQQlaIjNFBufPn++a79Chg5p+8cUXuPLKK9XznTt3qrIzjYkTJyI7O1vp7tCj06NHD1WSXsOtVnfBggXK0OnZs6eq2ho8eLDS9hEEQRCEKtE8FRE3votei9JwKD8KS5GPxY48VaXFpGXm8DCkRQ9PBA2e5j3DvceCXnV69IjRdXoEQRCEYHVZX6iEB8t3WR8NtKdgVkJYd9HqnDKLTo8gCIIghBWGrLqOVsnNyD3p1OGJqems0pKkZVMgRo8gCIIguEMDh6KDIjxoOqTLuiAIgiAIlkCMHkEQBEEQLIEYPYIgCIIgWAIxegRBEARBsARi9AiCIAiCYAnE6BEEQRAEwRJYsmRd02OkyJEgCIIgCMZAu25XVVfZkkbPH3/8oaaNGjUK964IgiAIglCF6ziVmf3Fkm0o2JX9t99+Q82aNVWj00BZnzSiDh06ZOrWFnKc5sIqx2mlY5XjNBdWOU5fj5UmCw0eNhln/01/saSnhx9Uw4YNg/La/KLMfmISOU5zYZXjtNKxynGaC6scpy/HWhUPj4YkMguCIAiCYAnE6BEEQRAEwRKI0RMgYmJi8OCDD6qpmZHjNBdWOU4rHascp7mwynGG6lgtmcgsCIIgCIL1EE+PIAiCIAiWQIweQRAEQRAsgRg9giAIgiBYAjF6BEEQBEGwBGL0CIIgCIJgCcTo8ZHHHnsM3bp1Q1xcHBITE33ahoVxU6dOxbnnnovY2FikpqZi9+7dpcZkZGTgxhtvVOqTfN2RI0fi9OnTCBf+7s/PP/+sWnl4erz33nuucZ7WL1y4EOGkKp/9lVdeWe44Ro8eXWrMwYMH0b9/f3Wu1K1bF/fddx8KCgpglOPk+DvvvBMtW7ZU5+3555+Pu+66C1lZWaXGhfs7nTVrFpo0aYIaNWogJSUF3377bYXjeT62atVKjb/ooouwbNkyv/9fw4E/x/nqq6/isssuQ1JSknrwGMqOHz58eLnvrU+fPtAD/hzr66+/Xu44uJ3ZvlNPvzl88DdGz9/pqlWr8H//93+qXQT354MPPqh0my+//BIdO3ZUJevNmzdX33F1/+/LwZJ1oXKmTp3qmDlzpmP8+PGOhIQEn7Z54okn1NgPPvjAsXnzZsc111zjSE5OduTm5rrG9OnTx9GuXTvHunXrHF9//bWjefPmjhtuuMERLvzdn4KCAsfvv/9e6vHwww87zjrrLMcff/zhGsdTbd68eaXGuX8O4aAqn/0VV1zhuO2220odR1ZWVqnPo23bto7U1FTH999/71i2bJmjTp06jsmTJzuMcpw//vijY9CgQY4PP/zQsWfPHsfKlSsdF1xwgWPw4MGlxoXzO124cKEjOjraMXfuXMe2bdvUd5KYmOg4cuSIx/GrV692REZGOp588knHTz/95PjXv/7lsNvt6lj9+X8NNf4e59/+9jfHrFmz1Lm3fft2x/Dhw9Ux/fLLL64xf//739U54f69ZWRkOMKNv8fKc69WrVqljuPw4cOlxpjhOz1x4kSpY9y6das6l3n8ev5Oly1b5pgyZYpj6dKl6rfi/fffr3D8vn37HHFxceoay//RF154QR1nenp6lT87T4jR4yc80XwxeoqKihz169d3PPXUU65lmZmZjpiYGMc777yj5vnF8mTYsGGDa8z//vc/h81mc/z666+OUBOo/Wnfvr3jlltuKbXMl5PeCMdKo+fuu++u8B89IiKi1I/vSy+9pH6cz5w54zDqd/ruu++qH5v8/HxdfKddunRxjBkzxjVfWFjoaNCggWP69Okexw8ZMsTRv3//UstSUlIc//jHP3z+fzXCcZaFRnjNmjUd8+fPL3WBvPbaax16w99jrey32Kzf6TPPPKO+09OnT+v+O/Xnt2LixImOCy+8sNSyoUOHOnr37h2wz45IeCtI7N+/H4cPH1buVPcmaXTHrV27Vs1zynDDJZdc4hrD8WyIun79+pDvcyD2Z+PGjfjhhx9UCKUsY8aMQZ06ddClSxfMnTtXuZ7DRXWOdcGCBeo42rZti8mTJyMnJ6fU6zJ0Uq9ePdey3r17q+7B27ZtQ6gJ1DnG0BbDY1FRUWH/TvPy8tR55v6/xePhvPa/VRYudx+vfS/aeF/+X0NNVY6zLDw38/PzUbt27XJhBIZeGcK8/fbbceLECYSTqh4rw7SNGzdWnbmvvfbaUv9jZv1O58yZg2HDhiE+Pl7X36m/VPY/GojPzrJd1kMB/9mI+8VPm9fWccqT1B1eVPgDpY0JJYHYH/5Dtm7dWuU/ufPII4/gqquuUnkuy5cvxx133KF+sJgrEg6qeqx/+9vf1I8s49RbtmzB/fffj507d2Lp0qWu1/X0nWvrjPidHj9+HNOmTcOoUaN08Z1yfwoLCz1+zjt27PC4jbfvxf1/UVvmbUyoqcpxloXnJ89V9wsFcz0GDRqE5ORk7N27F//85z/Rt29fdeGIjIyEUY6VF3ca2hdffLEyyp9++mn1u0PDp2HDhqb8Tpm/snXrVvU7644ev1N/8fY/yhvG3NxcnDx5str/D7C60TNp0iTMmDGjwjHbt29XyY9WOM7qwhPz7bffxgMPPFBunfuyDh06IDs7G0899VTAL5DBPlb3Cz89OkyQ7Nmzp/qhadasGcz2nfIHhwmTbdq0wUMPPRSW71SoGk888YRKLKcHwD3Bl14C93OYRgPPXY7juWwULr30UvXQoMHDG66XX35ZGelmhMYOvzN6Vt0xy3caCixt9EyYMEFlvVdE06ZNq/Ta9evXV9MjR46oC6MG59u3b+8ac/To0VLbscqH1TPa9qE8zuruz+LFi5U7PS0trdKxdDHzh+nMmTMBbS4XqmN1Pw6yZ88e9SPDbctWE/A7J0b7Tv/44w91B1mzZk28//77sNvtYflOy8JwGu9etc9Vg/PejonLKxrvy/9rqKnKcWrQ60Gj57PPPlMXwMrOE74Xz+FwXSCrc6waPD9pfPM4zPid8qaCRiw9rJWhh+/UX7z9jzKszso7fm7VPUcUPmf/CFVKZH766addy1jl4ymR+bvvvnON+fTTT8OeyFzV/WGSb9kKH288+uijjqSkJEe4CNRn/80336jXYWWIeyKzezXByy+/rBKZ//zzT4dRjpPnateuXdV3mp2drbvvlAmNY8eOLZXQeN5551WYyPzXv/611LJLL720XCJzRf+v4cDf4yQzZsxQ59vatWt9eo9Dhw6p8+G///2vI5xU5VjLJm23bNnScc8995juO9WuPdz348ePG+Y79TeRmZWv7rDKtGwic3XOEbUvPo+0OAcOHFBloFo5Np/z4V6WzX84lue5l0uynI4n3pYtW1R2vaeS9Q4dOjjWr1+vLqAsDQ53yXpF+8PSVx4n17uze/du9U/GyqCysPT51VdfVeXBHPef//xHlSZSBiCc+HusLN9+5JFHlAGxf/9+9b02bdrUcfnll5crWe/Vq5fjhx9+UOWW55xzTthL1v05Tl4YWNl00UUXqWN2L4Pl8enhO2XpKi8Ar7/+ujLsRo0apf7XtKq5m2++2TFp0qRSJetRUVHqAshS7gcffNBjyXpl/6+hxt/j5DGwym7x4sWlvjftd4rTe++9VxlEPIc/++wzR8eOHdU5EQ6jvDrHyt9iGvB79+51bNy40TFs2DBHjRo1VCmzmb5TjR49eqhqprLo9Tv9448/XNdJGj2UfOFzXksJj5HHWrZk/b777lP/o5Re8FSyXtFn5wti9PgISwL5xZV9fPHFF+V0SzR4p/HAAw846tWrp76onj17Onbu3FlOg4EXIBpSvDsbMWJEKUMq1FS2P/ynKnvchBf1Ro0aKcu7LDSEWMbO14yPj1eaMbNnz/Y4Vs/HevDgQWXg1K5dW32f1LvhP6i7Tg/5+eefHX379nXExsYqjZ4JEyaUKvXW+3Fy6ulc54Nj9fKdUsfj/PPPVxd53gFSh0iDHir+z5Ytu2/RooUaz9LYTz75pNR6X/5fw4E/x9m4cWOP3xuNPJKTk6MMchriNPo4nlon/lw09HKs48aNc43ld9avXz/Hpk2bTPedkh07dqjvcfny5eVeS6/f6Rdefke0Y+OUx1p2G/6u8HPhDaX79dSXz84XbPzjd/BNEARBEATBYIhOjyAIgiAIlkCMHkEQBEEQLIEYPYIgCIIgWAIxegRBEARBsARi9AiCIAiCYAnE6BEEQRAEwRKI0SMIgiAIgiUQo0cQBEEQBEsgRo8gCIIgCJZAjB5BEARBECyBGD2CIAiCIMAK/D8h5mwP5CtY2wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# Since logistic regression outputs 0/1, we should adjust the label y.\n",
    "nRep = 100; # number of replicates\n",
    "nTrain = 100; # number of training data\n",
    "nTest = 10000; # number of training data\n",
    "\n",
    "for i in range(nRep):\n",
    "    X, y, w_f = mkdata(nTrain, 'noisy')\n",
    "    w_g = logistic(X, y)\n",
    "    #TODO\n",
    "    # Compute training, testing error\n",
    "\n",
    "# print('E_train is {}, E_test is {}'.format(E_train, E_test))\n",
    "\n",
    "plotdata(X, y, w_f, w_g, 'Logistic Regression: noisy')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part6: SVM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from svm import svm\n",
    "\n",
    "nRep = 1000; # number of replica tes\n",
    "nTrain = 100; # number of training data\n",
    "\n",
    "for i in range(nRep):\n",
    "    X, y, w_f = mkdata(nTrain)\n",
    "    w_g, num_sc = svm(X, y)\n",
    "    #TODO\n",
    "    # Compute training, testing error\n",
    "    # Sum up number of support vectors\n",
    "\n",
    "# print('E_train is {}, E_test is {}'.format(E_train, E_test))\n",
    "# print('Average number of support vectors is {}.'.format(avgNum))\n",
    "plotdata(X, y, w_f, w_g, 'SVM')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
